Title :
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
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;
Conference_Titel :
Control, Automation and Systems (ICCAS), 2011 11th International Conference on
Conference_Location :
Gyeonggi-do
Print_ISBN :
978-1-4577-0835-0
