Dissipativity analysis for Lur'e systems with two additive time‐varying delays via some novel Lyapunov–Krasovskii functionals

Author:

Ban Jie1,Guo Liang‐Dong1ORCID

Affiliation:

1. School of Science University of Science and Technology Liaoning Anshan People's Republic of China

Abstract

AbstractThe problem of dissipativity analysis is discussed for Lur'e systems with two additive time‐varying delays (ATDs) in this paper. Based on the dynamic delay interval (DDI) method, some novel Lyapunov‐Krasovskii functionals (LKFs) are constructed, in which part of Lyapunov matrices are requested to be positive definite. Then strictly dissipativity criteria of Lur'e systems with ATDs are presented in terms of linear matrix inequalities (LMIs). As by‐products, the stability criteria of Lur'e systems with ATDs and the systems with ATDs are derived. Finally, several numerical examples are used to illustrate the effectiveness and superiority of these criteria.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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