Differential equations with discontinuous righthand side and solutions intended in Carath\'eodory 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.
Nonpathological Lyapunov functions and discontinuous Caratheodory systems / Bacciotti, Andrea; Ceragioli, Francesca Maria. - In: AUTOMATICA. - ISSN 0005-1098. - STAMPA. - 42:3(2006), pp. 453-458. [10.1016/j.automatica.2005.10.014]
Nonpathological Lyapunov functions and discontinuous Caratheodory systems
BACCIOTTI, Andrea;CERAGIOLI, Francesca Maria
2006
Abstract
Differential equations with discontinuous righthand side and solutions intended in Carath\'eodory 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.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1520296
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