An Exact Stability Test for Planar and Multi-Modal Piecewise Linear Systems

Authors:	Iwatani Yasushi, The University of Tokyo, Japan Hara Shinji, The University of Tokyo, Japan
Topic:	2.2 Linear Control Systems
Session:	Switched Dynamic Systems II
Keywords:	Hybrid dynamical systems, Piecewise linear systems,Stability analysis, Poles, Zeros.

Abstract

A necessary and sufficient stability condition for planar andmulti-modal piecewise linear systems is derived. The condition is given in terms of poles and zeros of subsystems, and it is computationally tractable. In addition, three numerical examples are illustrated in order to clarify differences between a class of linear time-invariant systems and a class of piecewise linear systems from the view point of stability.