Skip to main content
Erschienen in: Neural Processing Letters 1/2022

16.09.2021

State Estimation for Genetic Regulatory Networks with Two Delay Components by Using Second-Order Reciprocally Convex Approach

verfasst von: A. Chandrasekar, T. Radhika, Quanxin Zhu

Erschienen in: Neural Processing Letters | Ausgabe 1/2022

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper presents a state estimation for genetic regulatory networks with two delay components by using second-order reciprocally convex approach. The additive time delay plays an independence and the variation of the delay components with general type of lyapunov functional. The concerned results are dependent on the leakage time varying delay and upper bound of time-varying delays with derivatives. Our aim is to design a distributed state estimator which approximates the genetic states through the measurements of the sensors that is the estimation error system is asymptotically stable. In addition, the key role of this paper is derived by the second-order reciprocally convex approach. Then a genetic state estimator is designed in terms of the solution to a set of linear matrix inequalities (LMIs) which can be solved by using available software. Finally, a numerical example is employed to demonstrate the effectiveness of the proposed genetic state estimation approach.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Ambesi Impiombato A, Bernardo D (2006) Computational biology and drug discovery: from single-target to network drugs. Curr Bioinform 1: 3–13 Ambesi Impiombato A, Bernardo D (2006) Computational biology and drug discovery: from single-target to network drugs. Curr Bioinform 1: 3–13
2.
Zurück zum Zitat Sakthivel R, Vadivel P, Mathiyalagan K, Arunkumar A, Sivachitra M (2015) Design of state estimator for bidirectional associative memory neural networks with leakage delays. Inform Sci 296:263–274MathSciNetCrossRef Sakthivel R, Vadivel P, Mathiyalagan K, Arunkumar A, Sivachitra M (2015) Design of state estimator for bidirectional associative memory neural networks with leakage delays. Inform Sci 296:263–274MathSciNetCrossRef
3.
Zurück zum Zitat Ding K, Zhu Q (2021) A note on sampled-data synchronization of Memristor networks subject to actuator failures and two different activations. IEEE Trans Circ Syst I Regular Papers 68:2097–2101 Ding K, Zhu Q (2021) A note on sampled-data synchronization of Memristor networks subject to actuator failures and two different activations. IEEE Trans Circ Syst I Regular Papers 68:2097–2101
4.
Zurück zum Zitat Mathiyalagan K, Sakthivel R, Su H (2014) Exponential state estimation for discrete-time switched genetic regulatory networks with random delays. Can J Phys 92:976–986CrossRef Mathiyalagan K, Sakthivel R, Su H (2014) Exponential state estimation for discrete-time switched genetic regulatory networks with random delays. Can J Phys 92:976–986CrossRef
5.
Zurück zum Zitat Cai X, Wang X (2007) Stochastic modeling and simulation of gene networks. IEEE Sig Process Mag 24:27–36 Cai X, Wang X (2007) Stochastic modeling and simulation of gene networks. IEEE Sig Process Mag 24:27–36
6.
Zurück zum Zitat Rakkiyappan R, Chandrasekar A, Rihan FA, Lakshmanan S (2014) Exponential state estimation of Markovian jumping genetic regulatory networks with mode-dependent probabilistic time-varying delays. Math Biosci 251:30–53MathSciNetCrossRef Rakkiyappan R, Chandrasekar A, Rihan FA, Lakshmanan S (2014) Exponential state estimation of Markovian jumping genetic regulatory networks with mode-dependent probabilistic time-varying delays. Math Biosci 251:30–53MathSciNetCrossRef
7.
Zurück zum Zitat Dong T, Zhang Q (2020) Stability and oscillation analysis of a gene regulatory network with multiple time delays and diffusion rate. IEEE Trans Nanobiosci 19:285–292CrossRef Dong T, Zhang Q (2020) Stability and oscillation analysis of a gene regulatory network with multiple time delays and diffusion rate. IEEE Trans Nanobiosci 19:285–292CrossRef
8.
Zurück zum Zitat Duan L, Di F, Wang Z (2020) Existence and global exponential stability of almost periodic solutions of genetic regulatory networks with time-varying delays. J Exp Theor Artif Intell 32:453–463 Duan L, Di F, Wang Z (2020) Existence and global exponential stability of almost periodic solutions of genetic regulatory networks with time-varying delays. J Exp Theor Artif Intell 32:453–463
9.
Zurück zum Zitat Kong F, Zhu Q (2021) New fixed-time synchronization control of discontinuous inertial neural networks via indefinite Lyapunov-Krasovskii functional method. Int J Robust Nonlinear Control 31:471–495MathSciNetCrossRef Kong F, Zhu Q (2021) New fixed-time synchronization control of discontinuous inertial neural networks via indefinite Lyapunov-Krasovskii functional method. Int J Robust Nonlinear Control 31:471–495MathSciNetCrossRef
10.
Zurück zum Zitat Rao R, Zhu Q, Shi K (2020) Input-to-state stability for impulsive Gilpin-Ayala competition model with reaction diffusion and delayed feedback. IEEE Access 8:222625–222634CrossRef Rao R, Zhu Q, Shi K (2020) Input-to-state stability for impulsive Gilpin-Ayala competition model with reaction diffusion and delayed feedback. IEEE Access 8:222625–222634CrossRef
11.
Zurück zum Zitat Radhika T, Nagamani G, Zhu Q, Ramasamy S, Saravanakumar R (2018) Further results on dissipativity analysis for Markovian jump neural networks with randomly occurring uncertainties and leakage delays. Neural Comput Appl 30:3565–3579CrossRef Radhika T, Nagamani G, Zhu Q, Ramasamy S, Saravanakumar R (2018) Further results on dissipativity analysis for Markovian jump neural networks with randomly occurring uncertainties and leakage delays. Neural Comput Appl 30:3565–3579CrossRef
13.
Zurück zum Zitat Song R, Wang B, Zhu Q (2021) Delay-dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays. Int J Robust Nonlinear Control 31:250–267MathSciNetCrossRef Song R, Wang B, Zhu Q (2021) Delay-dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays. Int J Robust Nonlinear Control 31:250–267MathSciNetCrossRef
14.
Zurück zum Zitat Zhao Y, Zhu Q (2021) Stabilization by delay feedback control for highly nonlinear switched stochastic systems with time delays. Int J Robust Nonlinear Control 31:3070–3089MathSciNetCrossRef Zhao Y, Zhu Q (2021) Stabilization by delay feedback control for highly nonlinear switched stochastic systems with time delays. Int J Robust Nonlinear Control 31:3070–3089MathSciNetCrossRef
15.
Zurück zum Zitat Kong F, Zhu Q, Sakthivel R, Mohammadzadeh A (2021) Fixed-time synchronization analysis for discontinuous fuzzy inertial neural networks with parameter uncertainties. Neurocomputing 422:295–313CrossRef Kong F, Zhu Q, Sakthivel R, Mohammadzadeh A (2021) Fixed-time synchronization analysis for discontinuous fuzzy inertial neural networks with parameter uncertainties. Neurocomputing 422:295–313CrossRef
16.
Zurück zum Zitat Cao W, Zhu Q (2021) Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function. Nonlinear Anal Hybrid Syst 39:100983MathSciNetCrossRef Cao W, Zhu Q (2021) Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function. Nonlinear Anal Hybrid Syst 39:100983MathSciNetCrossRef
17.
Zurück zum Zitat Zhang M, Zhu Q (2020) Stability analysis for switched stochastic delayed systems under asynchronous switching: a relaxed switching signal. Int J Robust Nonlinear Control 30:8278–8298MathSciNetCrossRef Zhang M, Zhu Q (2020) Stability analysis for switched stochastic delayed systems under asynchronous switching: a relaxed switching signal. Int J Robust Nonlinear Control 30:8278–8298MathSciNetCrossRef
18.
Zurück zum Zitat Yang X, Zhu Q (2021) Stabilization of stochastic functional differential systems by steepest descent feedback controls. IET Control Theory Appl 15:805–813CrossRef Yang X, Zhu Q (2021) Stabilization of stochastic functional differential systems by steepest descent feedback controls. IET Control Theory Appl 15:805–813CrossRef
19.
Zurück zum Zitat Lam J, Gao HJ, Wang CH (2007) Stability analysis for continuous systems with two additive time-varying delay components. Syst Control Lett 56:16–24MathSciNetCrossRef Lam J, Gao HJ, Wang CH (2007) Stability analysis for continuous systems with two additive time-varying delay components. Syst Control Lett 56:16–24MathSciNetCrossRef
20.
Zurück zum Zitat Nagamani G, Radhika T, Zhu Q (2016) An improved result on dissipativity and passivity analysis of Markovian jump stochastic neural networks with two delay components. IEEE Trans Neural Netw Learn Syst 28:3018–3031MathSciNetCrossRef Nagamani G, Radhika T, Zhu Q (2016) An improved result on dissipativity and passivity analysis of Markovian jump stochastic neural networks with two delay components. IEEE Trans Neural Netw Learn Syst 28:3018–3031MathSciNetCrossRef
21.
Zurück zum Zitat Shao H, Han Q (2011) New delay-dependent stability criteria for neural networks with two additive time-varying delay components. IEEE Trans Neural Netw 22:812–818CrossRef Shao H, Han Q (2011) New delay-dependent stability criteria for neural networks with two additive time-varying delay components. IEEE Trans Neural Netw 22:812–818CrossRef
22.
Zurück zum Zitat Ma WJ, Luo XH, Zhu Q (2020) Practical exponential stability of stochastic age-dependent capital system with Levy noise. Syst Control Lett 144: 104759 Ma WJ, Luo XH, Zhu Q (2020) Practical exponential stability of stochastic age-dependent capital system with Levy noise. Syst Control Lett 144: 104759
23.
Zurück zum Zitat Gao LJ, Cao ZB, Zhang M, Zhu Q (2020) Input-to-state stability for hybrid delayed systems with admissible edge-dependent switching signals. J Frankl Inst 357:8823–8850MathSciNetCrossRef Gao LJ, Cao ZB, Zhang M, Zhu Q (2020) Input-to-state stability for hybrid delayed systems with admissible edge-dependent switching signals. J Frankl Inst 357:8823–8850MathSciNetCrossRef
24.
Zurück zum Zitat Ali MS, Usha M, Zhu Q, Shanmugam S (2020) Synchronization analysis for stochastic T-S fuzzy complex networks with Markovian jumping parameters and mixed time-varying delays via impulsive control. Math Probl Eng 2020:1–27MathSciNetCrossRef Ali MS, Usha M, Zhu Q, Shanmugam S (2020) Synchronization analysis for stochastic T-S fuzzy complex networks with Markovian jumping parameters and mixed time-varying delays via impulsive control. Math Probl Eng 2020:1–27MathSciNetCrossRef
25.
Zurück zum Zitat Zhu Q, Rakkiyappan R, Chandrasekar A (2014) Stochastic stability of Markovian jump BAM neural networks with leakage delays and impulse control. Neurocomputing 136:136–151CrossRef Zhu Q, Rakkiyappan R, Chandrasekar A (2014) Stochastic stability of Markovian jump BAM neural networks with leakage delays and impulse control. Neurocomputing 136:136–151CrossRef
26.
Zurück zum Zitat Wang Z, Ho DWC, Liu X (2005) State estimation for delayed neural networks. IEEE Trans Neural Netw 16:279–284CrossRef Wang Z, Ho DWC, Liu X (2005) State estimation for delayed neural networks. IEEE Trans Neural Netw 16:279–284CrossRef
27.
Zurück zum Zitat Vembarasan V, Nagamani G, Balasubramaniam P, Park Ju H (2013) State estimation for delayed genetic regulatory networks based on passivity theory. Math Biosci 244: 165–175 Vembarasan V, Nagamani G, Balasubramaniam P, Park Ju H (2013) State estimation for delayed genetic regulatory networks based on passivity theory. Math Biosci 244: 165–175
28.
Zurück zum Zitat Lee WI, Park P (2014) Second-order reciprocally convex approach to stability of systems with interval time-varying delays. Appl Math Comput 229:245–253MathSciNetMATH Lee WI, Park P (2014) Second-order reciprocally convex approach to stability of systems with interval time-varying delays. Appl Math Comput 229:245–253MathSciNetMATH
29.
Zurück zum Zitat Liu Y, Hu LS, Shi P (2012) A novel approach on stabilization for linear systems with time-varying input delay. Appl Math Comput 218:5937–5947MathSciNetMATH Liu Y, Hu LS, Shi P (2012) A novel approach on stabilization for linear systems with time-varying input delay. Appl Math Comput 218:5937–5947MathSciNetMATH
30.
Zurück zum Zitat Park P, Ko JW, Jeong C (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47:235–238MathSciNetCrossRef Park P, Ko JW, Jeong C (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47:235–238MathSciNetCrossRef
31.
Zurück zum Zitat Seuret A, Gouaisbaut F (2013) Jensen’s and Wirtinger’s inequalities for time-delay systems. IFAC Proc 46:343–348 Seuret A, Gouaisbaut F (2013) Jensen’s and Wirtinger’s inequalities for time-delay systems. IFAC Proc 46:343–348
32.
Zurück zum Zitat Liu J, Zhang J (2012) Note on stability of discrete-time time-varying delay systems. IET Control Theory Appl 6: 335–339 Liu J, Zhang J (2012) Note on stability of discrete-time time-varying delay systems. IET Control Theory Appl 6: 335–339
33.
Zurück zum Zitat Rakkiyappan R, Balasubramaniam P, Balachandran K (2011) Delay-dependent global asymptotic stability criteria for genetic regulatory networks with time delays in the leakage term. Physica Scripta 84:055007CrossRef Rakkiyappan R, Balasubramaniam P, Balachandran K (2011) Delay-dependent global asymptotic stability criteria for genetic regulatory networks with time delays in the leakage term. Physica Scripta 84:055007CrossRef
34.
Zurück zum Zitat Manivannan R, Cao J, Chong KT (2020) Generalized dissipativity state estimation for genetic regulatory networks with interval time-delay signals and leakage delays. Commun Nonlinear Sci Numer Simul 89:105326MathSciNetCrossRef Manivannan R, Cao J, Chong KT (2020) Generalized dissipativity state estimation for genetic regulatory networks with interval time-delay signals and leakage delays. Commun Nonlinear Sci Numer Simul 89:105326MathSciNetCrossRef
35.
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
36.
Zurück zum Zitat Liu J, Tian E, Gu Z, Zhang Y (2014) State estimation for Markovian jumping genetic regulatory networks with random delays. Commun Nonlinear Sci Numer Simul 19:2479–2492MathSciNetCrossRef Liu J, Tian E, Gu Z, Zhang Y (2014) State estimation for Markovian jumping genetic regulatory networks with random delays. Commun Nonlinear Sci Numer Simul 19:2479–2492MathSciNetCrossRef
37.
Zurück zum Zitat Liang J, Lam J (2010) Robust state estimation for stochastic genetic regulatory networks. Int J Syst Sci 41:47–63MathSciNetCrossRef Liang J, Lam J (2010) Robust state estimation for stochastic genetic regulatory networks. Int J Syst Sci 41:47–63MathSciNetCrossRef
38.
Zurück zum Zitat Sangeetha G, Mathiyalagan K (2020) State estimation results for genetic regulatory networks with Levy type noise. Chinese J Phys 68:191–203MathSciNetCrossRef Sangeetha G, Mathiyalagan K (2020) State estimation results for genetic regulatory networks with Levy type noise. Chinese J Phys 68:191–203MathSciNetCrossRef
39.
Zurück zum Zitat Elowitz MB, Leibler S (2000) A synthetic oscillatory network of transcriptional regulators. Nature 403:335CrossRef Elowitz MB, Leibler S (2000) A synthetic oscillatory network of transcriptional regulators. Nature 403:335CrossRef
40.
Zurück zum Zitat Zhang D, Song H, Yu L, Wang QG, Ong C (2012) Set-values filtering for discrete time-delay genetic regulatory networks with time-varying parameters. Nonlinear Dyn 69:693–703MathSciNetCrossRef Zhang D, Song H, Yu L, Wang QG, Ong C (2012) Set-values filtering for discrete time-delay genetic regulatory networks with time-varying parameters. Nonlinear Dyn 69:693–703MathSciNetCrossRef
Metadaten
Titel
State Estimation for Genetic Regulatory Networks with Two Delay Components by Using Second-Order Reciprocally Convex Approach
verfasst von
A. Chandrasekar
T. Radhika
Quanxin Zhu
Publikationsdatum
16.09.2021
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 1/2022
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-021-10633-4

Weitere Artikel der Ausgabe 1/2022

Neural Processing Letters 1/2022 Zur Ausgabe

Neuer Inhalt