On the Existence and Uniqueness of Solutions in Adaptive Control Systems
Date
1993Source
IEEE Transactions on Automatic ControlVolume
38Issue
3Pages
474-479Google Scholar check
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The issue of existence and uniqueness of solutions, which arises in the analysis of adaptive control systems, is investigated. We give sufficient conditions that guarantee existence and uniqueness in positive time of solutions to differential equations describing a wide class of adaptive schemes. The concept of Filippov's solution is introduced as a method of dealing with discontinuous adaptive systems. © 1993 IEEE