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On Stability and Boundedness for Lipschitzian Differential Inclusions: The Converse of Lyapunov's Theorems
Authors:E Arzarello and A Bacciotti
Institution:(1) Dipartimento di Matematica del Politecnico, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Abstract:For Lipschitzian differential inclusions, we prove that the existence of suitable Lyapunov functions is necessary for uniform stability and uniform boundedness of solutions.
Keywords:differential inclusions  stability  boundedness of solutions  Lyapunov functions
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