Title :
A Necessary and Sufficient Condition for Stability of Arbitrarily Switched Second-Order LTI System: Marginally Stable Case
Author :
Huang, Zhi Hong ; Xiang, Cheng ; Lin, Hai ; Lee, Tong Heng
Author_Institution :
Nat. Univ. of Singapore, Singapore
Abstract :
In this paper, the stability analysis for a class of second order switched LTI systems with possible marginally stable subsystems is investigated. The main contribution here is the derivation of a necessary and sufficient condition for stability of such a switched system under arbitrary switching. The condition can be easily checked which is illustrated by an example.
Keywords :
asymptotic stability; continuous time systems; control system analysis; linear systems; time-varying systems; arbitrarily switched second-order LTI system; linear time invariant system; marginal stable case; stability analysis; Books; Control systems; Eigenvalues and eigenfunctions; Intelligent control; Linear systems; Lyapunov method; Signal processing; Stability analysis; Sufficient conditions; Switched systems;
Conference_Titel :
Intelligent Control, 2007. ISIC 2007. IEEE 22nd International Symposium on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0440-7
Electronic_ISBN :
2158-9860
DOI :
10.1109/ISIC.2007.4450865
