Abstract

This paper addresses the adaptive event-triggered non-fragile output pinning synchronization control for complex networks subject to random saturations and cyber-attacks. An adaptive event-triggered scheme (AETS) based on the output synchronization error is proposed to save network bandwidth, and a pinning control strategy is employed to reduce the input of control signal. Considering the effect of AETS, randomly occurring saturations and cyber-attacks on the drive and response systems, we investigate a novel output security synchronization error model, and then design an event-triggered non-fragile controller such that the asymptotic stability of the error system can be guaranteed. Meanwhile, we obtain the controller gains and event-triggered matrices in terms of solving the linear matrix inequalities (LMIs). Finally, a simulation example is provided to verify the design method.

Highlights

  • C OMPLEX networks generally represent a class of largescale systems with multiple nodes, in which each node refers to different individuals with specific characteristics

  • This paper aims to investigate the event-based output pinning synchronization control for the drive-response complex networks subject to random saturations and cyber-attacks

  • Theorem 2 gives a co-design method of the controller and adaptive event-triggered scheme (AETS) based on the linear matrix inequalities (LMIs) approach

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Summary

Introduction

C OMPLEX networks generally represent a class of largescale systems with multiple nodes, in which each node refers to different individuals with specific characteristics. Each node in complex networks has different autonomous behavior, it is difficult for them to achieve synchronization without external intervention. This leads to the emergence of some synchronization control strategies, such as global and group synchronization [8]–[11], finite-time synchronization [12], [13], output synchronization [14], [15] and lock synchronization [16], [17]. The main objective of such control scheme is to design controllers on a small part of the nodes in complex networks such that the final synchronization of the whole network can be achieved. We utilize pinning synchronization control strategy based on output error to discuss the synchronization problem for complex networks under network attacks

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