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