Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay

被引：32
|
作者：
Lin, Xiangze [1 ]
Li, Xueling [2 ]
Li, Shihua [3 ]
Zou, Yun [4 ]
机构：
[1] Nanjing Agr Univ, Jiangsu Key Lab Intelligent Agr Equipment, Coll Engn, Nanjing 210031, Jiangsu, Peoples R China
[2] China Pharmaceut Univ, Sch Sci, Nanjing 211198, Jiangsu, Peoples R China
[3] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[4] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 274卷
关键词：
Switched nonlinear systems; Sector bounded nonlinearity; Finite-time boundedness; Finite-time weighted L-2-gain; Multiple Lyapunov-like functions; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILITY ANALYSIS; L-2-GAIN ANALYSIS; NEURAL-NETWORKS; DESIGN; STABILIZATION;
D O I：
10.1016/j.amc.2015.11.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Finite-time boundedness and finite-time stability of switched systems with sector bounded nonlinearity and constant time delay are investigated. Sufficient conditions which guarantee finite-time stability or finite-time boundedness of the switched nonlinear system are presented respectively. Average dwell time of switching signals is also given. Moreover, finite-time weighted L-2-gain of the switched nonlinear system is addressed to measure its disturbance tolerance capability in the fixed time interval. Detail proofs are accomplished by using multiple Lyapunov-like functions. An example is employed to verify the efficiency of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：25 / 40
页数：16
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