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On the existence and uniqueness of solutions in adaptive control systems

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2 Author(s)

The issue of existence and uniqueness of solutions, which arises in the analysis of adaptive control systems, is investigated. Sufficient conditions that guarantee existence and uniqueness in positive time of solutions to differential equations describing a wide class of adaptive schemes are given. The concept of Filippov's solution is introduced as a method of dealing with discontinuous adaptive systems

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 3 )