Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems |
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| Authors: | Z.H. Huang H. Lin T.H. Lee |
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| Affiliation: | Department of Electrical and Computer Engineering , National University of Singapore , 117576, Singapore |
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| Abstract: | In this article, the regional stabilisability issues of a pair of planar LTI systems are investigated through the geometrical approach, and easily verifiable necessary and sufficient conditions are derived. The main idea of the article is to characterise the best case switching signals based upon the variations of the constants of the integration of the subsystems. The conditions are generic as all possible combinations of the subsystem dynamics are considered. |
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| Keywords: | switched linear systems stabilisability geometrical approach best case analysis |
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