Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Author:

Wang Zhihua1,Tang Ze12ORCID,Park Ju H.3ORCID,Feng Jianwen4

Affiliation:

1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Jiangnan University Wuxi China

2. School of Internet of Things Engineering Jiangnan University Wuxi China

3. Department of Electrical Engineering Yeungnam University Gyeongsan Gyeongbuk Republic of Korea

4. College of Mathematics and Statistics Shenzhen University Shenzhen China

Abstract

SummaryIn this article, the global and exponential synchronization of Lur'e networks with hybrid time‐varying delays is investigated. For sake of saving control costs, a novel impulsive adaptive controller is presented, where the adaptive feedback control input is utilized to compensate the control effects of the impulsive signal. Meanwhile, suitable control gains are obtained according to the designing on adaptive updating laws. In view of the definition of average impulsive interval, the generalized comparison principle and the formula of parameter variation, sufficient conditions for achieving global and exponential synchronization of Lur'e dynamical networks are eventually derived. Two relevant numerical simulations are provided to illustrate the effectiveness of theoretical analysis and the control scheme.

Funder

China Postdoctoral Science Foundation

National Natural Science Foundation of China

National Research Foundation of Korea

Natural Science Foundation of Jiangsu Province

Higher Education Discipline Innovation Project

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Signal Processing,Control and Systems Engineering

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