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A Necessary and Sufficient Condition for Stability of Arbitrarily Switched Second-Order LTI System: Marginally Stable Case

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4 Author(s)
Zhi Hong Huang ; Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576. E-mail: ; Cheng Xiang ; Hai Lin ; Tong Heng Lee

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.

Published in:

2007 IEEE 22nd International Symposium on Intelligent Control

Date of Conference:

1-3 Oct. 2007