A generalization of Vidyasagar's theorem on stabilizability using state detection
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Tsinias, J
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In this paper we generalize the Vidyasagar's well known theorem on the local stabilizability problem of nonlinear systems using state detection [11]. Our purpose is to prove that if a system is weakly detectable and stabilizable by means of a continuous state feedback u = gamma-(x), for which no differentiability assumption is imposed, then the system is also stabilized by the law u = gamma-(z), where z is the output of a weak detector for the state x. The result above is applicable to several cases not covered by other works.
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journalArticle
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Global Stabilizability
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Nonlinear system
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stabilizability
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Vidyasagar's Theorem
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Mathematical Techniques - State Space Methods
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