Abstract
This paper studies the problems of exponential stabilization for a class of uncertain switched neutral neural networks with mixed time-varying delays. Based on the multiple Lyapunov-like functional method and the average dwell time method, the sufficient conditions which guarantee exponential stabilization of the uncertain switched neutral neural networks with mixed time-varying delays are presented. Averaged well time of switching signals is also given. Moreover, a design scheme for the stabilizing feedback controllers is proposed to guarantee exponential stability of corresponding closed-loop systems. Finally, two examples are given to illustrate the applicability and the effectiveness of the proposed method.
Similar content being viewed by others
References
Haykin S (1994) Neural networks, a comprehensive foundation. Prentice Hall, New York
SyedAli M, Balasubramaniam P (2011) Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple discrete and distributed time- varying delays. Commun Nonlinear Sci Numer Simul 16:2907–2916
Wang H, Yu Y, Wen G (2014) Stability analysis of fractional-order Hopfield neural networks with time delays. Commun Nonlinear Sci Numer Simul 55:98–109
SyedAli M, Arik S, Saravanakmuar R (2015) Delay-dependent stability criteria of uncertain Markovian jumpneural networks with discrete interval and distributed time-varying delays. Neurocomputing 158:167–173
Dong Y, Liang S, Guo L (2017) Robustly exponential stability analysis for discrete-time stochastic neural networks with interval time-varying delays. Neural Process Lett 46:135–158
Xia J, Park JH, Zeng H (2015) Improved delay-dependent robust stability analysis for neutral-type uncertain neural networks with Markovian jumping parameters and time-varying delays. Neurocomputing 149:1198–1205
Dharani S, Rakkiyappan R, Cao J (2015) New delay-dependent stability criteria for switched Hopfield neural networks of neutral type with additive time-varying delay components. Neurocomputing 151:827–834
Chandran R, Balasubramaniam P (2013) Delay dependent exponential stability for fuzzy recurrent neural networks with Interval time-varying delay. Neural Process Lett 37(2):147–161
Yang R, Wang Y (2012) Finite-time stability and stabilization of a class of nonlinear time-delay systems. SIAM J Control Optim 50:3113–3131
Huang H, Huang T, Chen X, Qian C (2013) Exponential stabilization of delayed recurrent neural networks: a state estimation based approach. Neural Netw 48:153–157
Zhang GD, Shen Y (2015) Exponential stabilization of memristor-based chaotic neural networks with time-varying delays via intermittent control. IEEE Trans Neural Netw Learn Syst 26:1431–1441
Lin H, Antsaklis PJ (2009) Stability and stabilization of switched linear systems: a survey of recent results. IEEE Trans Autom Control 54:308–322
Liberzon D, Morse AS (1999) Basic problems in stability and design of switched systems. IEEE Control Syst Mag 19:59–70
Ma D, Zhao J (2015) Stabilization of networked switched linear systems: an asynchronous switching delay system approach. Syst Control Lett 77:46–54
Dong Y, Li T, Mei S (2016) Exponential stabilization and L 2-gain for uncertain switched nonlinear systems with interval time-varying delay. Math Methods Appl Sci 39:3836–3854
Zhao XG, Li J, Ye D (2012) Fault detection for switched systems with finite frequency specifications. Nonlinear Dyn 70:409–420
Liu L, Zhou Q, Liang H, Wang L (2017) Stability and stabilization of nonlinear switched systems under average Dwell time. Appl Math Comput 298:77–94
Dong Y, Liu W, Li T, Liang S (2017) Finite-time boundedness analysis and H ∞ control for switched neutral systems with mixed time-varying delays. J Frankl Inst 354:787–811
Arunkumar A, Sakthivel R, Mathiyalagan K, Anthoni SM (2012) Robust stability criteria for discrete-time switched neural networks with various activation functions. Appl Math Comput 218:10803–10816
Wu XT, Tian Y, Zhang WB (2014) Stability analysis of switched stochastic neural networks with time-varying delays. Neural Netw 51:39–49
Shen W, Zeng Z, Wang L (2016) Stability analysis for uncertain switched neural networks with time-varying delay. Neural Netw 83:32–41
Yu Y, Meng M, Feng J, Wang P (2018) Stabilizability analysis and switching signals design of switched Boolean networks. Nonlinear Anal Hybrid Syst 30:31–44
Wu Y, Cao J, Alofi A, AL-Mazrooei A, Elaiw A (2015) Finite-time boundedness and stabilization of uncertain switched neural networks with time-varying delay. Neural Netw 69:135–143
Xin Y, Li Y, Cheng Z, Huang X (2016) Global exponential stability for switched memristive neural networks with time-varying delays. Neural Netw 80:34–42
Acknowledgements
This work is supported by the Natural Science Foundation of China under Grants 61703307 and 61603272.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Dong, Y., Guo, L., Hao, J. et al. Robust Exponential Stabilization for Switched Neutral Neural Networks with Mixed Time-Varying Delays. Neural Process Lett 50, 1381–1400 (2019). https://doi.org/10.1007/s11063-018-9928-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11063-018-9928-z