Invariance Envelopes and Invariance Kernels for Lipschitzean Differential Inclusions

Quincampoix M (1991). Invariance Envelopes and Invariance Kernels for Lipschitzean Differential Inclusions. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-91-039

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Abstract

The author investigates a differential inclusion whose solutions have to remain in a given closed set. The invariance kernel is the set of the initial conditions starting at which, all solutions to the differential inclusion remain in this closed set. The invariance envelope is the smallest set which contains the given closed set and which is invariant for the differential inclusion. In this paper, the author studies invariance envelopes and he compares this envelope to invariance kernels. He provides an algorithm which determines the invariance kernel and consequently the invariance envelope.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:01
Last Modified: 21 Jul 2016 06:05
URI: http://pure.iiasa.ac.at/3526

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