Discrete Legendre polynomials-based inequality for stability of time-varying delayed systems

被引：12

作者：

Gong, Deren ^{[1
]}

Wang, Xiaoliang ^{[1
]}

Wu, Shufan ^{[1
]}

Zhu, Xiaodan ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, Dongchuan Rd 800, Shanghai 200240, Peoples R China

[2] Chengdu Aircraft Design & Res Inst CADI, Riyue Ave 1610, Chengdu 610091, Sichuan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 16期

关键词：

DEPENDENT STABILITY; NEURAL-NETWORKS; SUMMATION INEQUALITIES; ROBUST STABILITY; LINEAR-SYSTEMS; STABILIZATION; CRITERIA; STATE; FUNCTIONALS; DESIGN;

D O I：

10.1016/j.jfranklin.2019.01.058

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper proposes Discrete Legendre Polynomial(DLP)-based inequality by solving the best weighted approximation of a given time series. The proposed inequality could significantly reduce the conservativeness in stability analysis of systems with constant or interval time-varying delays. Also former well-known integral inequities, such as discrete Jensen inequality, discrete Wirtinger-based inequality, are both included in the proposed DLP-based inequality as special cases with lower-order approximation. Stability criterion with less conservatism is then developed for both constant and time-varying delayed systems. Several numerical examples are given to demonstrate the effectiveness and benefit of the proposed method. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：9907 / 9927

页数：21

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