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Summary: Institute for Software Integrated Systems
Vanderbilt University
Nashville, Tennessee, 37235
A Reachability based Stability Analysis for
Switching Systems
Rong Su Sherif Abdelwahed Sandeep Neema
TECHNICAL REPORT
ISIS-04-506
A Reachability based Stability Analysis for Switching Systems
Rong Su
Sherif Abdelwahed
Sandeep Neema
September 3, 2004
Abstract
In this paper we discuss the practical stability issue of a switching system in terms of solving
a containability problem and an attraction problem. A novel computational procedure based on
nonlinear programming is presented to compute a containable region, in which each trajectory from
inside cannot move out under a given single-step-lookahead control policy. Then we discuss how to
decide whether the obtained containable region is finitely reachable from a point outside the region.
1 Introduction
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