Title :
Stability analysis of switched two-dimensional LTI systems with saddle points
Author :
Wang Xin ; Zhu Liying
Author_Institution :
Coll. of Math., Phys. & Inf. Eng., Zhejiang Normal Univ., Jinhua, China
Abstract :
This paper studies the stability of switched two-dimensional linear time-invariant(LTI) systems equipping with unstable subsystems with saddle points. Based on the directions and other geometric characteristics of the trajectory of subsystems, several simple stability criteria are proposed for the kind of switched systems under arbitrary switching paths composed of finite number switching lines. An illustrative example is carry out to show the correctness of the new stability results obtained in this paper.
Keywords :
linear systems; multidimensional systems; stability; time-varying systems; arbitrary switching paths; finite number switching lines; linear time-invariant systems; saddle points; stability analysis; stability criteria; switched two-dimensional LTI systems; unstable subsystems; Asymptotic stability; Clocks; Stability criteria; Switched systems; Switches; Trajectory; Switched LTI systems; instability; locally asymptotical stability; saddle point; switching line;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
