Necessary and sufficient condition for the existence of a common quadratic lyapunov function for switched linear interval systems

Author

Kim, Byeong-Yeon ; Ahn, Hyo-Sung

Author_Institution

Sch. of Mechatron., Gwangju Inst. of Sci. & Technol. (GIST), Gwangju, South Korea

fYear

2011

fDate

26-29 Oct. 2011

Firstpage

97

Lastpage

102

Abstract

In this paper, a necessary and sufficient condition for the existence of a common quadratic Lyapunov function (CQLF) for continuous time n-th order switched linear interval systems (SLISs) under arbitrary switching is presented. SLISs have infinitely many subsystems that are within the specified interval. All the subsystems of SLISs can be represented as a polytope of vertices of the interval matrix. It will be shown that the existence of a CQLF for SLISs is equivalent to the existence of a CQLF for all the vertices of the systems.

Keywords

Lyapunov methods; continuous time systems; linear systems; arbitrary switching; common quadratic Lyapunov function; continuous time n-th order switched linear interval systems; interval matrix; necessary condition; sufficient condition; Artificial intelligence; Indexes; Linear systems; Lyapunov methods; Stability analysis; Switches; Symmetric matrices; Common quadratic Lyapunov function; Polytope of matrices; Switched linear interval systems; Vertex matrix;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems (ICCAS), 2011 11th International Conference on

Conference_Location

Gyeonggi-do

ISSN

2093-7121

Print_ISBN

978-1-4577-0835-0

Type

conf

Filename

6106385