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Erschienen in: Neural Processing Letters 1/2020

12.07.2019

Robust Output Feedback Stabilization for Uncertain Discrete-Time Stochastic Neural Networks with Time-Varying Delay

verfasst von: Yali Dong, Huimin Wang

Erschienen in: Neural Processing Letters | Ausgabe 1/2020

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Abstract

This paper investigates the problem of robust exponential stabilization of uncertain discrete-time stochastic neural networks with time-varying delay based on output feedback control. By choosing an augmented Lyapunov–Krasovskii functional, we established the sufficient conditions of the delay-dependent asymptotical stabilization in the mean square for a class of discrete-time stochastic neural networks with time-varying delay. Furthermore, we obtain the criteria of robust global exponential stabilization in the mean square for uncertain discrete-time stochastic neural networks with time-varying delay. Finally, we give numerical examples to illustrate the effectiveness of the proposed results.

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Literatur
1.
Zurück zum Zitat Feng Z, Zheng W (2015) On extended dissipativity of discrete-time neural networks with time-delay. IEEE Trans Neural Netw Learn Syst 26:3293–3300MathSciNetCrossRef Feng Z, Zheng W (2015) On extended dissipativity of discrete-time neural networks with time-delay. IEEE Trans Neural Netw Learn Syst 26:3293–3300MathSciNetCrossRef
2.
Zurück zum Zitat Zou L, Wang Z, Han Q-L, Zhou D (2017) Ultimate boundedness control for networked systems with try-once-discard protocol and uniform quantization effects. IEEE Trans Autom Control 62:6582–6588MathSciNetCrossRef Zou L, Wang Z, Han Q-L, Zhou D (2017) Ultimate boundedness control for networked systems with try-once-discard protocol and uniform quantization effects. IEEE Trans Autom Control 62:6582–6588MathSciNetCrossRef
3.
Zurück zum Zitat Huang C, Liu B (2019) New studies on dynamic analysis of inertial neural networks involving non-reduced order method. Neurocomputing 325:283–287CrossRef Huang C, Liu B (2019) New studies on dynamic analysis of inertial neural networks involving non-reduced order method. Neurocomputing 325:283–287CrossRef
4.
Zurück zum Zitat Huang C, Zhang H (2019) Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. Int J Biomath 12:1950016MathSciNetCrossRef Huang C, Zhang H (2019) Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. Int J Biomath 12:1950016MathSciNetCrossRef
5.
Zurück zum Zitat Xia J, Park J, Zeng H (2015) Improved delay-dependent robust stability analysis for neutral-type uncertain neural networks with Markovian jumping parameters and time-varying delays. Neurocomputing 149:1198–1205CrossRef Xia J, Park J, Zeng H (2015) Improved delay-dependent robust stability analysis for neutral-type uncertain neural networks with Markovian jumping parameters and time-varying delays. Neurocomputing 149:1198–1205CrossRef
6.
Zurück zum Zitat Yang X, Huang C, Yang Z (2012) Stochastic synchronization of reaction-diffusion neural networks under general impulsive controller with mixed delays. Abstr Appl Anal 2012:1–25MathSciNetMATH Yang X, Huang C, Yang Z (2012) Stochastic synchronization of reaction-diffusion neural networks under general impulsive controller with mixed delays. Abstr Appl Anal 2012:1–25MathSciNetMATH
7.
Zurück zum Zitat Huang C, Liu B, Tian X, Yang L, Zhang X (2019) Global convergence on asymptotically almost periodic SICNNs with nonlinear decay functions. Neural Process Lett 49(2):625–641CrossRef Huang C, Liu B, Tian X, Yang L, Zhang X (2019) Global convergence on asymptotically almost periodic SICNNs with nonlinear decay functions. Neural Process Lett 49(2):625–641CrossRef
8.
Zurück zum Zitat Tian J, Xiong W, Xu F (2014) Improved delay-partitioning method to stability analysis for neural networks with discrete and distributed time-varying delays. Appl Math Comput 233:152–164MathSciNetMATH Tian J, Xiong W, Xu F (2014) Improved delay-partitioning method to stability analysis for neural networks with discrete and distributed time-varying delays. Appl Math Comput 233:152–164MathSciNetMATH
11.
Zurück zum Zitat Wen S, Huang T, Zeng Z, Chen Y, Li P (2015) Circuit design and exponential stabilization of memristive neural networks. Neural Netw 63:48–56CrossRef Wen S, Huang T, Zeng Z, Chen Y, Li P (2015) Circuit design and exponential stabilization of memristive neural networks. Neural Netw 63:48–56CrossRef
12.
Zurück zum Zitat Park MJ, Kwon OM, Park JuH, Lee SM, Cha EJ (2013) On synchronization criterion for coupled discrete-time neural networks with interval time- varying delays. Neurocomputing 99:188–196CrossRef Park MJ, Kwon OM, Park JuH, Lee SM, Cha EJ (2013) On synchronization criterion for coupled discrete-time neural networks with interval time- varying delays. Neurocomputing 99:188–196CrossRef
13.
Zurück zum Zitat Huang C, Kuang H, Chen X, Wen F (2013) An LMI approach for dynamics of switched cellular neural networks with mixed delays. Abstr Appl Anal 2013:1–8MathSciNetMATH Huang C, Kuang H, Chen X, Wen F (2013) An LMI approach for dynamics of switched cellular neural networks with mixed delays. Abstr Appl Anal 2013:1–8MathSciNetMATH
14.
Zurück zum Zitat Wang P, Hu H, Jun Z, Tan Y, Liu L (2013) Delay-dependent dynamics of switched cohen-grossberg neural networks with mixed delays. Abstr Appl Anal 2013:1–11MathSciNetMATH Wang P, Hu H, Jun Z, Tan Y, Liu L (2013) Delay-dependent dynamics of switched cohen-grossberg neural networks with mixed delays. Abstr Appl Anal 2013:1–11MathSciNetMATH
15.
Zurück zum Zitat Dong Y, Liang S, Wang H (2019) Robust stability and H∞ control for nonlinear discrete-time switched systems with interval time-varying delay. Math Methods Appl Sci 42:1999–2015MathSciNetCrossRef Dong Y, Liang S, Wang H (2019) Robust stability and H control for nonlinear discrete-time switched systems with interval time-varying delay. Math Methods Appl Sci 42:1999–2015MathSciNetCrossRef
16.
Zurück zum Zitat Yu J, Zhang K, Fei S (2010) Exponential stability criteria for discrete-time recurrent neural networks with time-varying delay. Nonlinear Anal Real World Appl 11:207–216MathSciNetCrossRef Yu J, Zhang K, Fei S (2010) Exponential stability criteria for discrete-time recurrent neural networks with time-varying delay. Nonlinear Anal Real World Appl 11:207–216MathSciNetCrossRef
17.
Zurück zum Zitat Tan C, Yang L, Zhang F, Zhang Z, Wong WS (2019) Stabilization of discrete time stochastic system with input delay and control dependent noise. Syst Control Lett 123:62–68MathSciNetCrossRef Tan C, Yang L, Zhang F, Zhang Z, Wong WS (2019) Stabilization of discrete time stochastic system with input delay and control dependent noise. Syst Control Lett 123:62–68MathSciNetCrossRef
18.
Zurück zum Zitat Luo M, Zhong S, Wang R, Kang W (2009) Robust stability analysis for discrete-time stochastic neural networks systems with time-varying delays. Appl Math Comput 209:305–313MathSciNetMATH Luo M, Zhong S, Wang R, Kang W (2009) Robust stability analysis for discrete-time stochastic neural networks systems with time-varying delays. Appl Math Comput 209:305–313MathSciNetMATH
19.
Zurück zum Zitat Zhou B, Yang X (2018) Global stabilization of discrete-time multiple integrators with bounded and delayed feedback. Automatica 97:306–315MathSciNetCrossRef Zhou B, Yang X (2018) Global stabilization of discrete-time multiple integrators with bounded and delayed feedback. Automatica 97:306–315MathSciNetCrossRef
20.
Zurück zum Zitat Ou Y, Liu H, Si Y, Feng Z (2010) Stability analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 73:740–748CrossRef Ou Y, Liu H, Si Y, Feng Z (2010) Stability analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 73:740–748CrossRef
21.
Zurück zum Zitat Chen W, Liu X (2008) Mean square exponential stability of uncertain stochastic delayed neural networks. Phys Lett A 372(7):1061–1069MathSciNetCrossRef Chen W, Liu X (2008) Mean square exponential stability of uncertain stochastic delayed neural networks. Phys Lett A 372(7):1061–1069MathSciNetCrossRef
22.
Zurück zum Zitat Wang Z, Liu Y, Fraser K, Liu X (2006) Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays. Phys Lett A 354:288–297CrossRef Wang Z, Liu Y, Fraser K, Liu X (2006) Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays. Phys Lett A 354:288–297CrossRef
23.
Zurück zum Zitat Wu X, Tang Y, Zhang W (2014) Stability analysis of switched stochastic neural networks with time-varying delays. Neural Netw 51:39–49CrossRef Wu X, Tang Y, Zhang W (2014) Stability analysis of switched stochastic neural networks with time-varying delays. Neural Netw 51:39–49CrossRef
24.
Zurück zum Zitat Zhou J, Xu S, Zhang B, Zou Y, Shen H (2012) Robust exponential stability of uncertain stochastic neural networks with distributed delays and reaction–diffusions. IEEE Trans Neural Netw Learn Syst 23:1407–1416CrossRef Zhou J, Xu S, Zhang B, Zou Y, Shen H (2012) Robust exponential stability of uncertain stochastic neural networks with distributed delays and reaction–diffusions. IEEE Trans Neural Netw Learn Syst 23:1407–1416CrossRef
25.
Zurück zum Zitat Yu J, Zhang K, Fei S (2010) Exponential stability criteria for discrete-time recurrent neural networks with time-varying delay. Nonlinear Anal Real World Appl 11:207–216MathSciNetCrossRef Yu J, Zhang K, Fei S (2010) Exponential stability criteria for discrete-time recurrent neural networks with time-varying delay. Nonlinear Anal Real World Appl 11:207–216MathSciNetCrossRef
26.
Zurück zum Zitat Dong Y, Chen L, Mei S (2019) Observer design for neutral-type neural networks with discrete and distributed time-varying delays. Int J Adapt Control Signal Process 33:527–544MathSciNetCrossRef Dong Y, Chen L, Mei S (2019) Observer design for neutral-type neural networks with discrete and distributed time-varying delays. Int J Adapt Control Signal Process 33:527–544MathSciNetCrossRef
27.
Zurück zum Zitat Hu J, Wang J (2015) Global exponential periodicity and stability of discrete-time complex-valued recurrent neural networks with time-delays. Neural Netw 66:119–130CrossRef Hu J, Wang J (2015) Global exponential periodicity and stability of discrete-time complex-valued recurrent neural networks with time-delays. Neural Netw 66:119–130CrossRef
28.
Zurück zum Zitat Zhang H, Liao X (2005) LMI-based robust stability analysis of neural networks with time-varying delay. Neurocomputing 67:306–312CrossRef Zhang H, Liao X (2005) LMI-based robust stability analysis of neural networks with time-varying delay. Neurocomputing 67:306–312CrossRef
29.
Zurück zum Zitat Xu S, Chu Y, Lu J (2006) New results on global exponential stability of recurrent neural networks with time-varying delays. Phys Lett A 352:371–379CrossRef Xu S, Chu Y, Lu J (2006) New results on global exponential stability of recurrent neural networks with time-varying delays. Phys Lett A 352:371–379CrossRef
30.
Zurück zum Zitat He Y, Wang G, Wu M (2005) LMI-based stability criteria for neural networks with multiple time-varying delays. Physica D 212:126–136MathSciNetCrossRef He Y, Wang G, Wu M (2005) LMI-based stability criteria for neural networks with multiple time-varying delays. Physica D 212:126–136MathSciNetCrossRef
31.
Zurück zum Zitat Liu Y, Wang Z, Liu X (2008) Robust stability of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 71:823–833CrossRef Liu Y, Wang Z, Liu X (2008) Robust stability of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 71:823–833CrossRef
Metadaten
Titel
Robust Output Feedback Stabilization for Uncertain Discrete-Time Stochastic Neural Networks with Time-Varying Delay
verfasst von
Yali Dong
Huimin Wang
Publikationsdatum
12.07.2019
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 1/2020
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-019-10077-x

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