On the Lyapunov Second Method for Data Measurable in Time

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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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: http://pure.iiasa.ac.at/3760

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