Methods of stabilizing or destabilizing a switched linear system |
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| Authors: | F. Benítez and C. Pérez |
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| Affiliation: | (1) College Automation Science & Engineering, Center for Control and Optimization, South China University of Technology, Guangzhou, 510640, People’s Republic of China;(2) Department of Electrical and Computer Engineering, The National University of Singapore, Singapore, Singapore;(3) Robotics Institue and Institute of Intelligent Systems and Information Technology, University of Electronic Science and Technology of China, Chengdu, People’s Republic of China |
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| Abstract: | This paper shows that the stability or nonstability of switched systems does not depend on the eigenvalues of the matrices. The result is obtained by giving examples of no stable (resp. no unstable) switched linear systems consisting of stable (resp. unstable) matrices. Moreover, for the first time all kinds of eigenvalues are considered, as well as two general results for establishing the stability or nonstability of switched linear systems are presented. |
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