Feedback stabilization of bilinear control systems

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1998
Authors
Wang, Hualin
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Wolfgang Kliemann
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Altmetrics
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Mathematics
Abstract

In this dissertation we study the region in which a bilinear control system is feedback stabilizable. In particular, we prove the equivalence of exponential stability and asymptotic stability using measurable feedback laws. Also we find a necessary and sufficient condition for feedback stabilization in terms of the Lyapunov spectrum. The maximal stabilizable region is discussed and some open questions are presented.

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Thu Jan 01 00:00:00 UTC 1998