Further results on event-triggered H∞ networked control for neural networks with stochastic cyber-attacks

Abstract This paper is concerned with decentralized event-triggered H∞ networked control for neural networks (NNs) subject to two types of stochastic cyber-attacks. Firstly, a new dynamic event-triggered scheme is introduced to monitor the sampled data transmissions, and two independent Bernoulli distributed variables are used to describe the randomly occurring cyber-attacks. Secondly, based on the networked control, the closed-loop system is constructed under the stochastic cyber-attacks and limited network bandwidth. Thirdly, by the Lyapunov-Krasovskii functional (LKF) approach, an improved stability criterion is established to ensure the closed-loop system is mean-square asymptotical stability with a prescribed H∞ performance. Based on the criterion, desired control gain is determined. Finally, the effectiveness of the obtained result is illustrated by two numerical examples.

[1]  Dong Yue,et al.  Communication-Delay-Distribution-Dependent Decentralized Control for Large-Scale Systems With IP-Based Communication Networks , 2013, IEEE Transactions on Control Systems Technology.

[2]  Zhigang Zeng,et al.  Implementation of Memristive Neural Network With Full-Function Pavlov Associative Memory , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Chen Peng,et al.  A survey on recent advances in event-triggered communication and control , 2018, Inf. Sci..

[4]  Jin Zhang,et al.  Adaptive event-triggered communication scheme for networked control systems with randomly occurring nonlinearities and uncertainties , 2016, Neurocomputing.

[5]  Hanyong Shao,et al.  Further improved stability results for generalized neural networks with time-varying delays , 2019, Neurocomputing.

[6]  Zhou Gu,et al.  Decentralized event-triggered H∞ control for neural networks subject to cyber-attacks , 2018, Inf. Sci..

[7]  Qing-Long Han,et al.  New Delay-Dependent Stability Criteria for Neural Networks With Two Additive Time-Varying Delay Components , 2011, IEEE Transactions on Neural Networks.

[8]  Guang-Hong Yang,et al.  Input-to-State Stabilizing Control for Cyber-Physical Systems With Multiple Transmission Channels Under Denial of Service , 2018, IEEE Transactions on Automatic Control.

[9]  Zhigang Zeng,et al.  Stabilization of Fuzzy Memristive Neural Networks With Mixed Time Delays , 2018, IEEE Transactions on Fuzzy Systems.

[10]  Dong Yue,et al.  On designing of an adaptive event-triggered communication scheme for nonlinear networked interconnected control systems , 2018, Inf. Sci..

[11]  Xiao-Heng Chang,et al.  Robust Design Strategy of Quantized Feedback Control , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Hanyong Shao,et al.  Improved Delay-Dependent Globally Asymptotic Stability Criteria for Neural Networks With a Constant Delay , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[13]  Guang-Hong Yang,et al.  Event‐triggered control for linear systems with actuator saturation and disturbances , 2017, IET Control Theory & Applications.

[14]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[15]  Ju H. Park,et al.  Finite-time synchronization control for uncertain Markov jump neural networks with input constraints , 2014, Nonlinear Dynamics.

[16]  Sonia Martínez,et al.  On the Performance Analysis of Resilient Networked Control Systems Under Replay Attacks , 2013, IEEE Transactions on Automatic Control.

[17]  Qing-Long Han,et al.  A Novel Event-Triggered Transmission Scheme and ${\cal L}_{2}$ Control Co-Design for Sampled-Data Control Systems , 2013, IEEE Transactions on Automatic Control.

[18]  Xiao-Heng Chang,et al.  Quantized Fuzzy Output Feedback ${\mathcal{H}}_{\infty}$ Control for Nonlinear Systems With Adjustment of Dynamic Parameters , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[19]  Hanyong Shao,et al.  Delay-Dependent Stability for Recurrent Neural Networks With Time-Varying Delays , 2008, IEEE Transactions on Neural Networks.

[20]  Shumin Fei,et al.  Distributed event-triggered H∞ filtering over sensor networks with sensor saturations and cyber-attacks. , 2018, ISA transactions.

[21]  Guang-Hong Yang,et al.  Event-triggered resilient control for cyber-physical systems under asynchronous DoS attacks , 2018, Inf. Sci..

[22]  Shouming Zhong,et al.  Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays , 2017, Appl. Math. Comput..

[23]  Haitao Zhang,et al.  Improved event-triggered control for networked control systems under stochastic cyber-attacks , 2019, Neurocomputing.

[24]  Huanhuan Li,et al.  New stability results for delayed neural networks , 2017, Appl. Math. Comput..

[25]  Engang Tian,et al.  Hybrid-driven-based H∞ filter design for neural networks subject to deception attacks , 2018, Appl. Math. Comput..

[26]  Qing-Long Han,et al.  State Estimation for Static Neural Networks With Time-Varying Delays Based on an Improved Reciprocally Convex Inequality , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[27]  Zhengtao Ding,et al.  Sampled-data synchronization of chaotic Lur'e systems via an adaptive event-triggered approach , 2018, Inf. Sci..

[28]  Hong Lin,et al.  Distributed event-triggered control for networked control systems with stochastic cyber-attacks , 2019, J. Frankl. Inst..

[29]  Zhixia Ding,et al.  Finite time stabilization of delayed neural networks , 2015, Neural Networks.

[30]  Guang-Hong Yang,et al.  Secure State Estimation for Multiagent Systems With Faulty and Malicious Agents , 2020, IEEE Transactions on Automatic Control.

[31]  Qunjing Wang,et al.  Global Robust Stabilizing Control for a Dynamic Neural Network System , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[32]  Hao Shen,et al.  Extended dissipativity-based synchronization of uncertain chaotic neural networks with actuator failures , 2015, J. Frankl. Inst..

[33]  Minrui Fei,et al.  Resilient Event-Triggering $H_{\infty }$ Load Frequency Control for Multi-Area Power Systems With Energy-Limited DoS Attacks , 2017, IEEE Transactions on Power Systems.

[34]  Hanyong Shao,et al.  Improved delay-dependent stability result for neural networks with time-varying delays. , 2018, ISA transactions.

[35]  Jin Zhang,et al.  Decentralized event-triggering communication scheme for large-scale systems under network environments , 2017, Inf. Sci..

[36]  Shumin Fei,et al.  Event-Based Security Control for State-Dependent Uncertain Systems Under Hybrid-Attacks and Its Application to Electronic Circuits , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[37]  K. Gu An integral inequality in the stability problem of time-delay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[38]  Hanyong Shao,et al.  Delay-Dependent Approaches to Globally Exponential Stability for Recurrent Neural Networks , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[39]  Qing-Long Han,et al.  Optimal Communication Network-Based $H_\infty $ Quantized Control With Packet Dropouts for a Class of Discrete-Time Neural Networks With Distributed Time Delay , 2016, IEEE Transactions on Neural Networks and Learning Systems.