Finite-Time Synchronization for Switched Neural Networks via Quantized Feedback Control

This paper is concerned with the problem of finite-time <inline-formula> <tex-math notation="LaTeX">$\mathcal {H}_{\infty }$ </tex-math></inline-formula> synchronization for a class of discrete-time switched neural networks with quantized feedback controllers. First, we take advantage of mode-dependent average dwell time approach and semi-time-dependent (STD) Lyapunov function method to establish new criteria for the finite-time synchronization. Based on the newly developed criteria, a finite-time bounded real lemma is presented and further, the quantized state feedback controller is designed to ensure the finite-time <inline-formula> <tex-math notation="LaTeX">$\mathcal {H}_{\infty }$ </tex-math></inline-formula> synchronization of the underlying neural networks. The conservatism is further reduced by the proposed mode-dependent and STD controller. Finally, we use two illustrative examples to show the effectiveness and superiority of the results obtained in this paper.

[1]  Peng Shi,et al.  Asynchronous Filtering for Markov Jump Neural Networks With Quantized Outputs , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Xiaodi Li,et al.  Finite-time boundedness and stabilization of uncertain switched delayed neural networks of neutral type , 2018, Neurocomputing.

[3]  Huan Li,et al.  Adaptive Control for Stochastic Switched Nonlower Triangular Nonlinear Systems and Its Application to a One-Link Manipulator , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[4]  Ya-Jun Pan,et al.  Event-Triggered Control for Consensus Problem in Multi-Agent Systems With Quantized Relative State Measurements and External Disturbance , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Chaoxu Guan,et al.  Exponential Synchronization of Networked Chaotic Delayed Neural Network by a Hybrid Event Trigger Scheme , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[6]  Hamid Reza Karimi,et al.  New Criteria for Stability of Generalized Neural Networks Including Markov Jump Parameters and Additive Time Delays , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  Fuad E. Alsaadi,et al.  L2-l∞ State Estimation for Discrete-time Switched Neural Networks with Time-varying Delay , 2017, Neurocomputing.

[8]  Zhongyang Fei,et al.  Stabilization of 2-D Switched Systems With All Modes Unstable via Switching Signal Regulation , 2017, IEEE Transactions on Automatic Control.

[9]  Rong Xu.  ANTI-PERIODIC DYNAMICS IN DELAYED NEURAL NETWORKS WITH UNIDIRECTIONAL COUPLING , 2018 .

[10]  Ligang Wu,et al.  Neural Network-Based Passive Filtering for Delayed Neutral-Type Semi-Markovian Jump Systems , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[11]  Zhitao Liu,et al.  Robust adaptive output feedback control for uncertain nonlinear systems with quantized input , 2017 .

[12]  Hamid Reza Karimi,et al.  Filtering of Discrete-Time Switched Neural Networks Ensuring Exponential Dissipative and $l_{2}$ – $l_{\infty }$ Performances , 2017, IEEE Transactions on Cybernetics.

[13]  Xiang-Gui Guo,et al.  Adaptive quantised H∞ observer-based output feedback control for non-linear systems with input and output quantisation , 2017 .

[14]  Jun Huang,et al.  Synchronization Control of Neural Networks With State-Dependent Coefficient Matrices , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[15]  Zhigang Zeng,et al.  New results on anti-synchronization of switched neural networks with time-varying delays and lag signals , 2016, Neural Networks.

[16]  Yurong Liu,et al.  Exponential mean-square H∞ filtering for arbitrarily switched neural networks with missing measurements , 2016, Neurocomputing.

[17]  Shaocheng Tong,et al.  Fuzzy adaptive quantized output feedback tracking control for switched nonlinear systems with input quantization , 2016, Fuzzy Sets Syst..

[18]  R. Rakkiyappan,et al.  H∞ state estimator design for discrete-time switched neural networks with multiple missing measurements and sojourn probabilities , 2016, J. Frankl. Inst..

[19]  Yonggang Chen,et al.  Synchronization of delayed discrete-time neural networks subject to saturated time-delay feedback , 2016, Neurocomputing.

[20]  Wei Xing Zheng,et al.  On Extended Dissipativity of Discrete-Time Neural Networks With Time Delay , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[21]  Peng Shi,et al.  Adaptive Synchronization for Neutral-Type Neural Networks with Stochastic Perturbation and Markovian Switching Parameters , 2014, IEEE Transactions on Cybernetics.

[22]  Peng Shi,et al.  Local Synchronization of Chaotic Neural Networks With Sampled-Data and Saturating Actuators , 2014, IEEE Transactions on Cybernetics.

[23]  James Lam,et al.  Stability and Synchronization of Discrete-Time Neural Networks With Switching Parameters and Time-Varying Delays , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[24]  Yang Tang,et al.  Exponential Synchronization of Coupled Switched Neural Networks With Mode-Dependent Impulsive Effects , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[25]  Jun Hu,et al.  Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements , 2013, Int. J. Control.

[26]  Peng Shi,et al.  Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time , 2012, IEEE Transactions on Automatic Control.

[27]  Huijun Gao,et al.  Network-based feedback control for systems with mixed delays based on quantization and dropout compensation , 2011, Autom..

[28]  Peng Shi,et al.  Delay-Dependent Stability Analysis for Switched Neural Networks With Time-Varying Delay , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Huijun Gao,et al.  New Passivity Analysis for Neural Networks With Discrete and Distributed Delays , 2010, IEEE Transactions on Neural Networks.

[30]  Wei Xing Zheng,et al.  Exponential Stability Analysis for Delayed Neural Networks With Switching Parameters: Average Dwell Time Approach , 2010, IEEE Transactions on Neural Networks.

[31]  Minyue Fu,et al.  Input and Output Quantized Feedback Linear Systems , 2010, IEEE Transactions on Automatic Control.

[32]  Huijun Gao,et al.  New Delay-Dependent Exponential H ∞ Synchronization for Uncertain Neural Networks With Mixed Time Delays , 2009 .

[33]  Huijun Gao,et al.  A new approach to quantized feedback control systems , 2008, Autom..

[34]  Jinde Cao,et al.  Robust Stability of Switched Cohen–Grossberg Neural Networks With Mixed Time-Varying Delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[35]  Zidong Wang,et al.  Exponential stability of delayed recurrent neural networks with Markovian jumping parameters , 2006 .

[36]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[37]  M. Feki.  An adaptive chaos synchronization scheme applied to secure communication , 2003 .

[38]  M. Gilli.  Strange attractors in delayed cellular neural networks , 1993 .

[39]  Désiré Bollé,et al.  On the overlap dynamics of multi-state neural networks with a finite number of patterns , 1992 .