Conditions of well-posedness for planar conewise linear systems

被引：0

作者：

Namdar, Daniyal ^{[1
]}

Özgüler, Arif Bulent ^{[1
]}

机构：

[1] Bilkent Univ, Dept Elect & Elect Engn, TR-06800 Ankara, Turkiye

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2023年 / 45卷 / 16期

关键词：

Linear systems; piecewise-continuous; conewise; switched systems; well-posedness; stability; STABILITY;

D O I：

10.1177/01423312231162718

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A planar (2D) conewise linear system (CLS) is considered. This is a piecewise linear system of two states and multiple modes, where each mode is linear with its state-space constrained into a polyhedral, finitely generated, convex cone. It is allowed to have a discontinuous vector field and sliding modes. Alternative conditions for well-posedness of Caratheodory solutions of this system that have intuitive interpretations with respect to eigenvectors and cone-boundary vectors are derived. It is also shown that a well-known condition for well-posedness of bimodal systems also applies to two adjacent modes of this system without any change.

引用

页码：3067 / 3076

页数：10

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