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		Ji,ong XIONG,Zhendong SUN.[en_title][J].Control Theory and Technology,2013,11(3):513~516.[Copy]

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JiandongXIONG,ZhendongSUN
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(College of Automation Science and Engineering, South China University of Technology)

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Received:May 02, 2012Revised:January 20, 2013

基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 60925013, 61273121).

Accurate estimation of the largest divergence rate for a class of the 3rd-order switched linear systems

Jiandong XIONG,Zhendong SUN

(College of Automation Science and Engineering, South China University of Technology)

Abstract:

The largest divergence rate is a characterization of the stability behavior for dynamic systems, which has been proven to be equal to the least possible common matrix set measure (extreme measure) of switched linear systems. To determine the largest divergence rate is an interesting and open problem. In this paper, an algorithm is introduced to estimate the largest divergence rate for a class of the 3rd-order switched linear systems, by which any desired accurate estimation could be derived. It explores a way to determine the largest divergence rate for the 3rd-order switched linear systems. Furthermore, the accurate estimation provides a qualitative and quantitative analysis for guaranteed stability of switched linear systems.

Key words: Guaranteed stability Largest divergence rate Extreme measure Absolute stability