On the existence, uniqueness and nature of Caratheodory and Filippov solutions for bimodal piecewise affine dynamical systems

被引：14
|
作者：
Thuan, L. Q. [1 ,2 ]
Camlibel, M. K. [1 ,3 ]
机构：
[1] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, NL-9700 AV Groningen, Netherlands
[2] Quy Nhon Univ, Dept Math, Quy Nhon, Binh Dinh, Vietnam
[3] Dogus Univ, Dept Elect & Commun Engn, TR-34722 Istanbul, Turkey
来源：
SYSTEMS & CONTROL LETTERS | 2014年 / 68卷
关键词：
Piecewise affine systems; Well-posedness; Existence and uniqueness of solutions; Caratheodory solutions; Filippov solutions; One-sided Lipschitz condition; LINEAR RELAY SYSTEMS; HYBRID SYSTEMS;
D O I：
10.1016/j.sysconle.2014.02.009
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 paper, we deal with the well-posedness (in the sense of existence and uniqueness of solutions) and nature of solutions for discontinuous bimodal piecewise affine systems in a differential inclusion setting. First, we show that the conditions guaranteeing uniqueness of Filippov solutions in the context of general differential inclusions are quite restrictive when applied to bimodal piecewise affine systems. Later, we present a set of necessary and sufficient conditions for uniqueness of Filippov solutions for bimodal piecewise affine systems. We also study the so-called Zeno behavior (possibility of infinitely many switchings within a finite time interval) for Filippov solutions. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：76 / 85
页数：10
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