Equivalence between two results providing polyhedral contractive sets for discrete-time linear systems with arbitrary switching

被引：0
|
作者：
Matcovschi, Mihaela-Hanako [1 ]
Pastravanu, Octavian [1 ]
机构：
[1] Tech Univ Gheorghe Asachi Iasi, Dept Automat Control & Appl Informat, Blvd Mangeron 27, Iasi 700050, Romania
来源：
2019 22ND INTERNATIONAL CONFERENCE ON CONTROL SYSTEMS AND COMPUTER SCIENCE (CSCS) | 2019年
关键词：
discrete-time dynamics; arbitrary switching system; lambda -contractive polyhedral sets; qualitative analysis of differential systems; Matlab examples; LYAPUNOV FUNCTIONS; VECTOR NORMS;
D O I：
10.1109/CSCS.2019.00023
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper belongs to the area of qualitative analysis of the dynamics for discrete-time arbitrary switching linear systems. The purpose of our research is to develop a rigorous comparative study between two criteria for testing the existence of lambda -contractive polyhedral sets with respect to the switching systems. Despite the common objective of the two criteria, their connections at the level of the mathematical backgrounds have been insufficiently explored. These backgrounds are relatively distanced, namely the operation with convex sets versus solvability of several matrix equalities, with inequality constraints. Our work proposes complete mathematical results with accompanying proofs, which are able to explain all the links that are currently missing from the literature. These theoretical results are illustrated by a numerical example run in Matlab, which also offers visual support for the construction and utilization of lambda -contractive polyhedral sets.
引用
收藏
页码：91 / 96
页数：6
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