Frankowska, H. & Plaskacz, S. (1993). On the Lyapunov Second Method for Data Measurable in Time. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-93-054
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Abstract
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).
| Item Type: | Monograph (IIASA Working Paper) | 
|---|---|
| Research Programs: | Dynamic Systems (DYN) | 
| Depositing User: | IIASA Import | 
| Date Deposited: | 15 Jan 2016 02:02 | 
| Last Modified: | 27 Aug 2021 17:14 | 
| URI: | https://pure.iiasa.ac.at/3760 | 
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