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


Download (444kB) | Preview


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: 13 Mar 2018 16:31
URI: http://pure.iiasa.ac.at/3760

Actions (login required)

View Item View Item

International Institute for Applied Systems Analysis (IIASA)
Schlossplatz 1, A-2361 Laxenburg, Austria
Phone: (+43 2236) 807 0 Fax:(+43 2236) 71 313