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2019 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Ju H. Park, Hao Shen, Xiao-Heng Chang, Tae H. Lee

Erschienen in: Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals

Verlag: Springer International Publishing

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Abstract

During the past two decades, since the advanced IT technology including high-speed communication networks has been rapidly developed, some control problems of dynamic systems or networks with some system constraints have widely studied and attracted much attention by many researchers. It is well known that the factors including communication/transmission delays, internal uncertainties, external noises, sensor faults, sampling and quantization errors, and switching phenomena in system mode which are common in the system deeply give serious effect to system’s stability and performance.

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Literatur
1.
Zurück zum Zitat Goddard R (1915) Method of and apparatus for producing electrical impulses or oscillations. U.S. Patent \(\sharp \)1,159,209 Goddard R (1915) Method of and apparatus for producing electrical impulses or oscillations. U.S. Patent \(\sharp \)1,159,209
2.
Zurück zum Zitat Kalman RE (1960) A new approach to linear filtering and prediction problems. J Basic Eng 82:35–45CrossRef Kalman RE (1960) A new approach to linear filtering and prediction problems. J Basic Eng 82:35–45CrossRef
3.
Zurück zum Zitat Krasovskii N, Lidskii E (1961) Analytical design of controllers in systems with random attributes. Autom Remote Control 22:1021–1025 Krasovskii N, Lidskii E (1961) Analytical design of controllers in systems with random attributes. Autom Remote Control 22:1021–1025
4.
Zurück zum Zitat Boukas EK (2005) Stabilization of stochastic nonlinear hybrid systems. Int J Innovative Comput, Inf Control 1:131–141MathSciNet Boukas EK (2005) Stabilization of stochastic nonlinear hybrid systems. Int J Innovative Comput, Inf Control 1:131–141MathSciNet
5.
Zurück zum Zitat Shen H, Xu S, Song XN, Chu YM (2010) Delay-dependent filtering for stochastic systems with Markovian switching and mixed mode-dependent delays. Nonlinear Anal: Hybrid Syst 4:122–133MathSciNetMATH Shen H, Xu S, Song XN, Chu YM (2010) Delay-dependent filtering for stochastic systems with Markovian switching and mixed mode-dependent delays. Nonlinear Anal: Hybrid Syst 4:122–133MathSciNetMATH
6.
Zurück zum Zitat Shen H, Park JH, Wu ZG, Zhang Z (2015) Finite-time \(\cal{H}_\infty \) synchronization for complex networks with semi-Markov jump topology. Communn Nonlinear Sci Numer Simul 24:40–51MathSciNetCrossRef Shen H, Park JH, Wu ZG, Zhang Z (2015) Finite-time \(\cal{H}_\infty \) synchronization for complex networks with semi-Markov jump topology. Communn Nonlinear Sci Numer Simul 24:40–51MathSciNetCrossRef
7.
Zurück zum Zitat Wu L, Su X, Shi P (2014) Output feedback control of Markovian jump repeated scalar nonlinear systems. IEEE Trans Autom Control 59:199–204MathSciNetCrossRef Wu L, Su X, Shi P (2014) Output feedback control of Markovian jump repeated scalar nonlinear systems. IEEE Trans Autom Control 59:199–204MathSciNetCrossRef
8.
Zurück zum Zitat Zhang LX, Leng Y, Colaneri P (2016) Stability and stabilization of discrete-time semi-Markov jump linear systems via semi-Markov Kernel approach. IEEE Trans Autom Control 61:503–508MathSciNetMATH Zhang LX, Leng Y, Colaneri P (2016) Stability and stabilization of discrete-time semi-Markov jump linear systems via semi-Markov Kernel approach. IEEE Trans Autom Control 61:503–508MathSciNetMATH
9.
Zurück zum Zitat Wei Y, Park JH, Qiu J, Wu L, Jung HY (2017) Sliding mode control for semi-Markovian jump systems via output feedback. Automatica 81:133–141MathSciNetCrossRef Wei Y, Park JH, Qiu J, Wu L, Jung HY (2017) Sliding mode control for semi-Markovian jump systems via output feedback. Automatica 81:133–141MathSciNetCrossRef
10.
Zurück zum Zitat Costa O, Fragoso M, Todorov M (2013) Continuous-time Markov jump linear systems. Springer Costa O, Fragoso M, Todorov M (2013) Continuous-time Markov jump linear systems. Springer
11.
Zurück zum Zitat Li S, Zheng RX (2016) Stochastic stability analysis and \(\cal{L}_\infty \)-gain controller design for positive Markov jump systems with time-varying delays. Nonlinear Anal: Hybrid Syst 22:31–42MathSciNet Li S, Zheng RX (2016) Stochastic stability analysis and \(\cal{L}_\infty \)-gain controller design for positive Markov jump systems with time-varying delays. Nonlinear Anal: Hybrid Syst 22:31–42MathSciNet
12.
Zurück zum Zitat Li H, Shi P, Yao D, Wu L (2016) Observer-based adaptive sliding mode control of nonlinear Markovian jump systems. Automatica 64:133–142MathSciNetCrossRef Li H, Shi P, Yao D, Wu L (2016) Observer-based adaptive sliding mode control of nonlinear Markovian jump systems. Automatica 64:133–142MathSciNetCrossRef
13.
Zurück zum Zitat Mao X, Yuan C (2006) Stochastic differential equations with Markovian switching. Imperial College Press Mao X, Yuan C (2006) Stochastic differential equations with Markovian switching. Imperial College Press
14.
Zurück zum Zitat Schwartz C (2003) Control of semi-Markov jump linear systems with application to the bunch-train cavity interaction. Northwestern University Schwartz C (2003) Control of semi-Markov jump linear systems with application to the bunch-train cavity interaction. Northwestern University
15.
Zurück zum Zitat Barbu V, Limnios N (2008) Semi-Markov Chains and Hidden Semi-Markov Models toward applications: their use in reliability and DNA analysis. Springer Barbu V, Limnios N (2008) Semi-Markov Chains and Hidden Semi-Markov Models toward applications: their use in reliability and DNA analysis. Springer
16.
Zurück zum Zitat Huang J (2013) Analysis and synthesis of semi-Markov jump linear systems and networked dynamic systems. University of Victoria Huang J (2013) Analysis and synthesis of semi-Markov jump linear systems and networked dynamic systems. University of Victoria
17.
Zurück zum Zitat Hou Z, Luo J, Shi P, Nguang SK (2006) Stochastic stability of Ito differential equations with semi-Markovian jump parameters. IEEE Trans Autom Control 51:1838–1842MathSciNetCrossRef Hou Z, Luo J, Shi P, Nguang SK (2006) Stochastic stability of Ito differential equations with semi-Markovian jump parameters. IEEE Trans Autom Control 51:1838–1842MathSciNetCrossRef
18.
Zurück zum Zitat Shen H, Su L, Park JH (2017) Reliable mixed \(\cal{H}_\infty \)/passive control for T-S fuzzy delayed systems based on a semi-Markov jump model approach. Fuzzy Sets Syst 314:79–98MathSciNetCrossRef Shen H, Su L, Park JH (2017) Reliable mixed \(\cal{H}_\infty \)/passive control for T-S fuzzy delayed systems based on a semi-Markov jump model approach. Fuzzy Sets Syst 314:79–98MathSciNetCrossRef
19.
Zurück zum Zitat Chen T, Francis BA (1995) Optimal sampled-data control systems. Springer, London, UK Chen T, Francis BA (1995) Optimal sampled-data control systems. Springer, London, UK
20.
Zurück zum Zitat Lee TH, Park JH (2017) Stability analysis of sampled-data systems via free-matrix-based time-dependent discontinuous Lyapunov approach. IEEE Trans Autom Control 62:3653–3657MathSciNetCrossRef Lee TH, Park JH (2017) Stability analysis of sampled-data systems via free-matrix-based time-dependent discontinuous Lyapunov approach. IEEE Trans Autom Control 62:3653–3657MathSciNetCrossRef
21.
Zurück zum Zitat Sakthivel R, Selvaraj P, Mathiyalagan K, Park JH (2015) Robust fault-tolerant \(\cal{H}_\infty \) control for offshore steel jacket platforms via sampled-data approach. J Franklin Inst 352:2259–2279MathSciNetCrossRef Sakthivel R, Selvaraj P, Mathiyalagan K, Park JH (2015) Robust fault-tolerant \(\cal{H}_\infty \) control for offshore steel jacket platforms via sampled-data approach. J Franklin Inst 352:2259–2279MathSciNetCrossRef
22.
Zurück zum Zitat Fridman E, Seuret A, Richard JP (2004) Robust sampled-data stabilization of linear systems: An input delay approach. Automatica 40:1441–1446MathSciNetCrossRef Fridman E, Seuret A, Richard JP (2004) Robust sampled-data stabilization of linear systems: An input delay approach. Automatica 40:1441–1446MathSciNetCrossRef
23.
Zurück zum Zitat Chen WH, Zheng WX (2012) An improved stabilization method for sampled-data control systems with control packet loss. IEEE Trans Autom Control 57:2378–2384MathSciNetCrossRef Chen WH, Zheng WX (2012) An improved stabilization method for sampled-data control systems with control packet loss. IEEE Trans Autom Control 57:2378–2384MathSciNetCrossRef
24.
Zurück zum Zitat Wang J, Chen M, Shen H, Park JH, Wu ZG (2017) A Markov jump model approach to reliable event-triggered retarded dynamic output feedback \(\cal{H}_\infty \) control for networked systems. Nonlinear Anal: Hybrid Syst 26:137–150MathSciNetMATH Wang J, Chen M, Shen H, Park JH, Wu ZG (2017) A Markov jump model approach to reliable event-triggered retarded dynamic output feedback \(\cal{H}_\infty \) control for networked systems. Nonlinear Anal: Hybrid Syst 26:137–150MathSciNetMATH
25.
Zurück zum Zitat Cheng J, Park JH, Zhang L, Zhu Y (2018) An asynchronous operation approach to event-triggered control for fuzzy Markovian jump systems with general switching policies. IEEE Trans Fuzzy Syst 26:6–18CrossRef Cheng J, Park JH, Zhang L, Zhu Y (2018) An asynchronous operation approach to event-triggered control for fuzzy Markovian jump systems with general switching policies. IEEE Trans Fuzzy Syst 26:6–18CrossRef
26.
Zurück zum Zitat Wang S, Zeng M, Park JH, Zhang L, Hayat T, Alsaedi A (2017) Finite-time control for networked switched linear systems with an event-driven communication approach. Int J Syst Sci 48:236–246MathSciNetCrossRef Wang S, Zeng M, Park JH, Zhang L, Hayat T, Alsaedi A (2017) Finite-time control for networked switched linear systems with an event-driven communication approach. Int J Syst Sci 48:236–246MathSciNetCrossRef
27.
Zurück zum Zitat Shen M, Park JH, Fei S (2018) Event-triggered non-fragile \(\cal{H}_\infty \) filtering of Markov jump systems with imperfect transmissions. Sig Process 149:204–213CrossRef Shen M, Park JH, Fei S (2018) Event-triggered non-fragile \(\cal{H}_\infty \) filtering of Markov jump systems with imperfect transmissions. Sig Process 149:204–213CrossRef
28.
Zurück zum Zitat Zhang W, Branicky M, Phillips S (2001) Stability of network control systems. IEEE Control Syst Mag 21:84–99CrossRef Zhang W, Branicky M, Phillips S (2001) Stability of network control systems. IEEE Control Syst Mag 21:84–99CrossRef
29.
Zurück zum Zitat Yang TC (2006) Networked control systems: a brief survey. IET Control Theory Appl 153:403–412CrossRef Yang TC (2006) Networked control systems: a brief survey. IET Control Theory Appl 153:403–412CrossRef
30.
Zurück zum Zitat Long Y, Park JH, Ye D (2017) Finite frequency fault detection for networked systems with access constraint. Int J Robust Nonlinear Control 27:2410–2427MathSciNetCrossRef Long Y, Park JH, Ye D (2017) Finite frequency fault detection for networked systems with access constraint. Int J Robust Nonlinear Control 27:2410–2427MathSciNetCrossRef
31.
Zurück zum Zitat Zhang JH, Lam J (2015) A probabilistic approach to stability and stabilization of networked control systems. Int J Adapt Control Signal Process 29:925–938MathSciNetCrossRef Zhang JH, Lam J (2015) A probabilistic approach to stability and stabilization of networked control systems. Int J Adapt Control Signal Process 29:925–938MathSciNetCrossRef
32.
Zurück zum Zitat Sun XM, Liu KZ, Wen CY, Wang W (2016) Predictive control of nonlinear continuous networked control systems with large time-varying transmission delays and transmission protocols. Automatica 64:76–85MathSciNetCrossRef Sun XM, Liu KZ, Wen CY, Wang W (2016) Predictive control of nonlinear continuous networked control systems with large time-varying transmission delays and transmission protocols. Automatica 64:76–85MathSciNetCrossRef
33.
Zurück zum Zitat Zhang D, Wang QG, Yu L, Shao QK (2013) \(\cal{H}_\infty \) filtering for networked systems with multiple time-varying transmissions and random packet dropouts. IEEE Trans Industr Inf 9:1705–1716CrossRef Zhang D, Wang QG, Yu L, Shao QK (2013) \(\cal{H}_\infty \) filtering for networked systems with multiple time-varying transmissions and random packet dropouts. IEEE Trans Industr Inf 9:1705–1716CrossRef
34.
Zurück zum Zitat Wang D, Wang JL, Wang W (2013) \(\cal{H}_\infty \) controller design of networked control systems with Markov packet dropouts. IEEE Trans Syst, Man Cybern: Syst 43:689–697CrossRef Wang D, Wang JL, Wang W (2013) \(\cal{H}_\infty \) controller design of networked control systems with Markov packet dropouts. IEEE Trans Syst, Man Cybern: Syst 43:689–697CrossRef
35.
Zurück zum Zitat Antunes D, Hespanha JP, Silvestre C (2015) Stochastic networked control systems with dynamic protocols. Asian J Control 17:99–110MathSciNetCrossRef Antunes D, Hespanha JP, Silvestre C (2015) Stochastic networked control systems with dynamic protocols. Asian J Control 17:99–110MathSciNetCrossRef
36.
Zurück zum Zitat Long Y, Park JH, Ye D (2017) Transmission-dependent fault detection and isolation strategy for networked systems under finite capacity channels. IEEE Trans Cybern 47:2268–2278 Long Y, Park JH, Ye D (2017) Transmission-dependent fault detection and isolation strategy for networked systems under finite capacity channels. IEEE Trans Cybern 47:2268–2278
37.
Zurück zum Zitat Mathiyalagan K, Lee TH, Park JH, Sakthivel R (2016) Robust passivity based resilient \(\cal{H}_\infty \) control for networked control systems with random gain fluctuations. Int J Robust Nonlinear Control 26:426–444MathSciNetCrossRef Mathiyalagan K, Lee TH, Park JH, Sakthivel R (2016) Robust passivity based resilient \(\cal{H}_\infty \) control for networked control systems with random gain fluctuations. Int J Robust Nonlinear Control 26:426–444MathSciNetCrossRef
38.
Zurück zum Zitat Lee TH, Xia J, Park JH (2017) Networked control system with asynchronous samplings and quantizations in both transmission and receiving channels. Neurocomputing 237:25–38CrossRef Lee TH, Xia J, Park JH (2017) Networked control system with asynchronous samplings and quantizations in both transmission and receiving channels. Neurocomputing 237:25–38CrossRef
39.
Zurück zum Zitat Elowitz MB, Leibler S (2000) A synthetic oscillatory network of transcriptional regulators. Nature 403:335–338CrossRef Elowitz MB, Leibler S (2000) A synthetic oscillatory network of transcriptional regulators. Nature 403:335–338CrossRef
40.
Zurück zum Zitat Rabunal JR, Dorrado J (2006) Artificial neural networks in real-life applications. Idea Group Pub, Hershey, PA, USA Rabunal JR, Dorrado J (2006) Artificial neural networks in real-life applications. Idea Group Pub, Hershey, PA, USA
41.
Zurück zum Zitat Xu S, Lam J, Ho DWC, Zou Y (2004) Global robust exponential stability analysis for interval recurrent neural networks. Phys Lett A 325:124–133CrossRef Xu S, Lam J, Ho DWC, Zou Y (2004) Global robust exponential stability analysis for interval recurrent neural networks. Phys Lett A 325:124–133CrossRef
42.
Zurück zum Zitat Park JH (2006) Robust stability of bidirectional associative memory neural networks with time delays. Phys Lett A 349:494–499CrossRef Park JH (2006) Robust stability of bidirectional associative memory neural networks with time delays. Phys Lett A 349:494–499CrossRef
43.
Zurück zum Zitat Park JH (2006) Global exponential stability of cellular neural networks with variable delays. Appl Math Comput 183:1214–1219MathSciNetMATH Park JH (2006) Global exponential stability of cellular neural networks with variable delays. Appl Math Comput 183:1214–1219MathSciNetMATH
44.
Zurück zum Zitat Ji DH, Koo JH, Won SC, Lee SM, Park JH (2011) Passivity-based control for Hopfield neural networks using convex representation. Appl Math Comput 217:6168–6175MathSciNetMATH Ji DH, Koo JH, Won SC, Lee SM, Park JH (2011) Passivity-based control for Hopfield neural networks using convex representation. Appl Math Comput 217:6168–6175MathSciNetMATH
45.
Zurück zum Zitat Lu J, Ho DWC, Wang Z (2009) Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Trans Neural Networks 20:1617–1629CrossRef Lu J, Ho DWC, Wang Z (2009) Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Trans Neural Networks 20:1617–1629CrossRef
46.
Zurück zum Zitat Balasubramaniam P, Vembarasan V, Rakkiyappan R (2011) Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Commun Nonlinear Sci Numer Simul 16:2109–2129MathSciNetCrossRef Balasubramaniam P, Vembarasan V, Rakkiyappan R (2011) Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Commun Nonlinear Sci Numer Simul 16:2109–2129MathSciNetCrossRef
47.
Zurück zum Zitat Chen Y, Zheng WX (2012) Stochastic state estimation for neural networks with distributed delays and Markovian jump. Neural Networks 25:14–20CrossRef Chen Y, Zheng WX (2012) Stochastic state estimation for neural networks with distributed delays and Markovian jump. Neural Networks 25:14–20CrossRef
48.
Zurück zum Zitat Rakkiyappan R, Chandrasekar A, Laksmanan S, Park JH (2014) State estimation of memristor-based recurrent neural networks with time-varying delays based on passivity theory. Complexity 19:32–43MathSciNetCrossRef Rakkiyappan R, Chandrasekar A, Laksmanan S, Park JH (2014) State estimation of memristor-based recurrent neural networks with time-varying delays based on passivity theory. Complexity 19:32–43MathSciNetCrossRef
49.
Zurück zum Zitat Watts D, Strogatz S (1998) Collective dynamics of small-world networks. Nature 393:440–442CrossRef Watts D, Strogatz S (1998) Collective dynamics of small-world networks. Nature 393:440–442CrossRef
51.
Zurück zum Zitat Barabasi A, Bonabeau E (2003) Scale-free networks. Scientific American, pp 50–59 Barabasi A, Bonabeau E (2003) Scale-free networks. Scientific American, pp 50–59
52.
53.
Zurück zum Zitat Dorogovtesev SN, Mendes JFF (2002) Evolution of networks. Adv Phys 51:1079–1187CrossRef Dorogovtesev SN, Mendes JFF (2002) Evolution of networks. Adv Phys 51:1079–1187CrossRef
56.
Zurück zum Zitat Erdös P, Rényi A (1960) On the evolution of random graphs. Publications Math Inst Hung Acad Sci 5:17–61MathSciNetMATH Erdös P, Rényi A (1960) On the evolution of random graphs. Publications Math Inst Hung Acad Sci 5:17–61MathSciNetMATH
57.
Zurück zum Zitat Shen H, Park JH, Wu ZG, Zhang Z (2015) Finite-time \(\cal{H}_\infty \) synchronization for complex networks with semi-Markov jump topology. Commun Nonlinear Sci Numer Simul 24:40–51MathSciNetCrossRef Shen H, Park JH, Wu ZG, Zhang Z (2015) Finite-time \(\cal{H}_\infty \) synchronization for complex networks with semi-Markov jump topology. Commun Nonlinear Sci Numer Simul 24:40–51MathSciNetCrossRef
58.
Zurück zum Zitat Park JH, Lee TH (2015) Synchronization of complex dynamical networks with discontinuous coupling signals. Nonlinear Dyn 79:1353–1362MathSciNetCrossRef Park JH, Lee TH (2015) Synchronization of complex dynamical networks with discontinuous coupling signals. Nonlinear Dyn 79:1353–1362MathSciNetCrossRef
59.
Zurück zum Zitat Tang Z, Park JH, Lee TH (2016) Topology and parameters recognition of uncertain complex networks via nonidentical adaptive synchronization. Nonlinear Dyn 85:2171–2181MathSciNetCrossRef Tang Z, Park JH, Lee TH (2016) Topology and parameters recognition of uncertain complex networks via nonidentical adaptive synchronization. Nonlinear Dyn 85:2171–2181MathSciNetCrossRef
60.
Zurück zum Zitat Lee TH, Ma Q, Xu S, Park JH (2015) Pinning control for cluster synchronisation of complex dynamical networks with semi-Markovian jump topology. Int J Control 88:1223–1235MathSciNetCrossRef Lee TH, Ma Q, Xu S, Park JH (2015) Pinning control for cluster synchronisation of complex dynamical networks with semi-Markovian jump topology. Int J Control 88:1223–1235MathSciNetCrossRef
61.
Zurück zum Zitat Arenas A, Guilera AD, Kurths J, Moreno Y, Zhou CS (2008) Synchronization in complex networks. Phys Rep 469:93–153MathSciNetCrossRef Arenas A, Guilera AD, Kurths J, Moreno Y, Zhou CS (2008) Synchronization in complex networks. Phys Rep 469:93–153MathSciNetCrossRef
62.
Zurück zum Zitat Buijs P, Vis IF, Carlo HJ (2014) Synchronization in cross-docking networks: a research classification and framework. Eur J Oper Res 239:593–608CrossRef Buijs P, Vis IF, Carlo HJ (2014) Synchronization in cross-docking networks: a research classification and framework. Eur J Oper Res 239:593–608CrossRef
64.
Zurück zum Zitat Tang Z, Park JH, Feng J (2018) Impulsive effects on quasi-synchronization of neural networks with parameter mismatches and time-varying delay. IEEE Trans Neural Networks LearnSys 29:908–919CrossRef Tang Z, Park JH, Feng J (2018) Impulsive effects on quasi-synchronization of neural networks with parameter mismatches and time-varying delay. IEEE Trans Neural Networks LearnSys 29:908–919CrossRef
65.
Zurück zum Zitat Mathiyalagan K, Anbuvithya R, Sakthivel R, Park JH, Prakash P (2016) Non-fragile \(\cal{H}_\infty \) synchronization of memristor-based neural networks using passivity theory. Neural Networks 74:85–100CrossRef Mathiyalagan K, Anbuvithya R, Sakthivel R, Park JH, Prakash P (2016) Non-fragile \(\cal{H}_\infty \) synchronization of memristor-based neural networks using passivity theory. Neural Networks 74:85–100CrossRef
66.
Zurück zum Zitat Li ZX, Park JH (2014) Sampling-interval-dependent synchronization of complex dynamical networks with distributed coupling delay. Nonlinear Dyn 78:341–348MathSciNetCrossRef Li ZX, Park JH (2014) Sampling-interval-dependent synchronization of complex dynamical networks with distributed coupling delay. Nonlinear Dyn 78:341–348MathSciNetCrossRef
67.
Zurück zum Zitat Park JH, Tang Z, Feng J (2017) Pinning cluster synchronization of delay coupled Lur’e dynamical networks in a convex domain. Nonlinear Dyn 89:623–638CrossRef Park JH, Tang Z, Feng J (2017) Pinning cluster synchronization of delay coupled Lur’e dynamical networks in a convex domain. Nonlinear Dyn 89:623–638CrossRef
68.
Zurück zum Zitat Khalil HK (2002) Nonlinear Systems, 3rd edn. Prentice Hall, Upper Saddle River, NJ Khalil HK (2002) Nonlinear Systems, 3rd edn. Prentice Hall, Upper Saddle River, NJ
69.
Zurück zum Zitat Lewis FL (1986) Optimal estimation. Wiley, New York Lewis FL (1986) Optimal estimation. Wiley, New York
70.
71.
Zurück zum Zitat Sinopoli B, Schenato L, Franceschetti M, Poolla K, Jordan M, Sastry S (2004) Kalman filtering with intermittent observations. IEEE Trans Autom Control 49:1453–1464MathSciNetCrossRef Sinopoli B, Schenato L, Franceschetti M, Poolla K, Jordan M, Sastry S (2004) Kalman filtering with intermittent observations. IEEE Trans Autom Control 49:1453–1464MathSciNetCrossRef
72.
Zurück zum Zitat Lakshmanan S, Park JH, Ji DH, Jung HY, Nagamani G (2012) State estimation of neural networks with time-varying delays and Markovian jumping parameter based on passivity theory. Nonlinear Dyn 70:1421–1434MathSciNetCrossRef Lakshmanan S, Park JH, Ji DH, Jung HY, Nagamani G (2012) State estimation of neural networks with time-varying delays and Markovian jumping parameter based on passivity theory. Nonlinear Dyn 70:1421–1434MathSciNetCrossRef
73.
Zurück zum Zitat Lee TH, Lakshmanan S, Park JH, Balasubramaniam P (2013) State estimation for genetic regulatory networks with mode-dependent leakage delays, time-varying delays, and Markovian jumping parameters. IEEE Trans NanoBiosci 12:363–375CrossRef Lee TH, Lakshmanan S, Park JH, Balasubramaniam P (2013) State estimation for genetic regulatory networks with mode-dependent leakage delays, time-varying delays, and Markovian jumping parameters. IEEE Trans NanoBiosci 12:363–375CrossRef
74.
Zurück zum Zitat Song X, Park JH (2017) Linear optimal estimation for discrete-time measurement-delay systems with multi-channel multiplicative noise. IEEE Trans Circ Syst II: Express Lett 64:156–160 Song X, Park JH (2017) Linear optimal estimation for discrete-time measurement-delay systems with multi-channel multiplicative noise. IEEE Trans Circ Syst II: Express Lett 64:156–160
75.
Zurück zum Zitat Song X, Park JH, Yan X (2017) Linear estimation for measurement-delay systems with periodic coefficients and multiplicative noise. IEEE Trans Autom Control 62:4124–4130MathSciNetCrossRef Song X, Park JH, Yan X (2017) Linear estimation for measurement-delay systems with periodic coefficients and multiplicative noise. IEEE Trans Autom Control 62:4124–4130MathSciNetCrossRef
76.
Zurück zum Zitat Chen X, Cao J, Park JH, Qiu J (2017) Stability analysis and estimation of domain of attraction for the endemic equilibrium of an SEIQ epidemic model. Nonlinear Dyn 87:975–985MathSciNetCrossRef Chen X, Cao J, Park JH, Qiu J (2017) Stability analysis and estimation of domain of attraction for the endemic equilibrium of an SEIQ epidemic model. Nonlinear Dyn 87:975–985MathSciNetCrossRef
77.
Zurück zum Zitat Boyd S, El Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM Press Boyd S, El Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM Press
78.
Zurück zum Zitat Gu K (2000) An integral inequality in the stability problem of time-delay systems. In Proceedings of the IEEE conference on decision control 2805–2810 Gu K (2000) An integral inequality in the stability problem of time-delay systems. In Proceedings of the IEEE conference on decision control 2805–2810
79.
Zurück zum Zitat Seuret A, Gouaisbaut F (2013) Wirtinger-based intergral inequality: application to time-delay systems. Automatica 49:2860–2866CrossRef Seuret A, Gouaisbaut F (2013) Wirtinger-based intergral inequality: application to time-delay systems. Automatica 49:2860–2866CrossRef
80.
Zurück zum Zitat Park P, Lee WI, Lee SY (2015) Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems. J Franklin Inst 352:1378–1396MathSciNetCrossRef Park P, Lee WI, Lee SY (2015) Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems. J Franklin Inst 352:1378–1396MathSciNetCrossRef
81.
Zurück zum Zitat Park PG, Ko JW, Jeong C (2011) Reciprocally convex approach to stability of systems with time-varying delays. Autometica 47:235–238MathSciNetCrossRef Park PG, Ko JW, Jeong C (2011) Reciprocally convex approach to stability of systems with time-varying delays. Autometica 47:235–238MathSciNetCrossRef
82.
Zurück zum Zitat Graham A (1982) Kronecker products and matrix calculus: with applications. John Wiley and Sons Inc, New York Graham A (1982) Kronecker products and matrix calculus: with applications. John Wiley and Sons Inc, New York
83.
Zurück zum Zitat Vidyasagar M (1993) Nonlinear systems analysis, 2nd edn. Prentice Hall, Englewood Cliffs, New Jersey Vidyasagar M (1993) Nonlinear systems analysis, 2nd edn. Prentice Hall, Englewood Cliffs, New Jersey
Metadaten
Titel
Introduction
verfasst von
Ju H. Park
Hao Shen
Xiao-Heng Chang
Tae H. Lee
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-96202-3_1

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