Determining the viability of a polytope for a switched system
LV Jian-feng
GAO Yan
Abstract：This paper is devoted to the viability criterion for a polytope under a switched system. A sufficient viability criterion for a polytope, which is expressed by a convex hull of finite number of points, is proposed by using nonsmooth analysis. Based on this criterion, instead of all boundary points, just several vertices are needed to be verified whether satisfying some conditions. The advantage of the proposed methods is that determining the viability is transformed into computing vectors inner product and tangents. This method of determining the viability is easy to be complemented. Finally, two examples are listed to illustrate the effectiveness of main results of this paper.
Keywords：switched systemviabilitypolytopeswitching controlnonsmooth analysis
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 120-124 )