Linear Complementarity Systems and Cone-Copositive Lyapunov Stability

被引：3
|
作者：
Iannelli, L. [1 ]
Iervolino, R. [2 ]
Vasca, F. [1 ]
机构：
[1] Univ Sannio, Dipartimento Ingn, I-82100 Benevento, Italy
[2] Univ Napoli Federico II, Dipartimento Ingn Elettr & Tecnol Informaz, I-80125 Naples, Italy
来源：
IEEE CONTROL SYSTEMS LETTERS | 2019年 / 3卷 / 04期
关键词：
Stability of hybrid systems; Lyapunov methods; hybrid systems; switched systems; LMIs;
D O I：
10.1109/LCSYS.2019.2918979
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Exponential stability of the origin of linear complementarity systems (LCS) is analyzed by applying Lyapunov theory. By representing the feasibility and the solution sets of the LCS as cones, a cone-copositive approach is used to get sufficient stability conditions expressed in terms of linear matrix inequalities (LMI). The proposed method is constructive in the sense that the solution of the set of LMI directly provides a quadratic Lyapunov function. Sufficient conditions for piecewise quadratic Lyapunov functions are obtained, as well. Illustrative examples show the effectiveness of the approach.
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页码：799 / 804
页数：6
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