On the Lyapunov Second Method for Data Measurable in Time

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3766 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3766 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3766 archive 351 disk0/00/00/37/60 2016-01-15 02:02:38 2021-08-27 17:14:24 2016-01-15 02:02:38 monograph show 2 Frankowska H. AL0659 Plaskacz S. On the Lyapunov Second Method for Data Measurable in Time pub iis_met prog_dyn In this paper the authors study time dependent Lyapunov functions for nonautonomous systems described by differential inclusions. In particular it is shown that Lyapunov functions are viscosity supersolutions of a Hamilton-Jacobi equation. For this aim a new viability theorem for differential inclusions with time dependent state constraints is proved. The viability conditions are formulated both using contingent cones and in a dual way, using subnormal cones (negative polar of contingent cone). 1993-09 published WP-93-054 WP-93-054 10 1884 public working_paper IIASA, Laxenburg, Austria 20 FALSE info:eu-repo/semantics/book