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Aubin, J.-P. (1988). Smallest Lyapunov Functions of Differential Inclusions. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-88-081
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Abstract
This paper provides a first answer to the question: does there exist a smallest Lyapunov function of a differential inclusion larger than a given function. For that purpose, they have to be looked for in the class of lower semicontinuous functions, and thus, the concept of derivative has to be replaced by the one of contingent epi-derivative to characterize lower semicontinuous Lyapunov functions. The existence of a largest closed viability (and/or invariance) domain of a differential inclusion contained in a given closed subset is then proved and used to infer the existence of such a Lyapunov function.
| Item Type: | Monograph (IIASA Working Paper) |
|---|---|
| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 01:58 |
| Last Modified: | 27 Aug 2021 17:13 |
| URI: | https://pure.iiasa.ac.at/3124 |
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