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Nonpathological Lyapunov functions and discontinuous Carathéodory systems |
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| Authors: | Andrea Bacciotti [Author Vitae] [Author Vitae] |
| Affiliation: | Dipartimento di Matematica del Politecnico di Torino, C.so Duca degli Abruzzi, 24-10129 Torino, Italy |
| Abstract: | Differential equations with discontinuous right-hand side and solutions intended in Carathéodory sense are considered. For these equations, sufficient conditions which guarantee both Lyapunov stability and asymptotic stability in terms of nonsmooth Lyapunov functions are given. An invariance principle is also proven. |
| Keywords: | Lyapunov functions Stability Stabilizability Discontinuous control Invariance principle Nonpathological functions Carathé odory solutions |
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