Cone-Copositive Piecewise Quadratic Lyapunov Functions for Conewise Linear Systems

被引：26
|
作者：
Iervolino, Raffaele [1 ]
Vasca, Francesco [2 ]
Iannelli, Luigi [2 ]
机构：
[1] Univ Naples Federico II, Dipartimento Ingn Elettr & Tecnolo Informaz, I-80125 Naples, Italy
[2] Univ Sannio, Dipartimento Ingn, I-82100 Benevento, Italy
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 11期
关键词：
Conewise linear systems; LMIs; piecewise quadratic Lyapunov functions; stability analysis; switched systems; uncertain systems; STABILITY-CRITERIA;
D O I：
10.1109/TAC.2015.2409933
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this technical note, cone-copositive piecewise quadratic Lyapunov functions (PWQ-LFs) for the stability analysis of conewise linear systems are proposed. The existence of a PWQ-LF is formulated as the feasibility of a cone-copositive programming problem which is represented in terms of linear matrix inequalities. A constructive procedure for its solution is provided. Examples show the effectiveness of the approach, also in the case of uncertain conewise linear systems.
引用
收藏
页码：3077 / 3082
页数：6
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