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		Khalid KASSARA.[en_title][J].Control Theory and Technology,2012,10(3):303~308.[Copy]

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KhalidKASSARA
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(Systems and Control Group, University Hassan II)

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Received:January 25, 2011Revised:May 10, 2011

基金项目:This work was supported by the Hassan II Academy of Sciences and Technics of Morocco.

Observability by using viability kernels

Khalid KASSARA

(Systems and Control Group, University Hassan II)

Abstract:

The aim of this paper is to propose a new way to deal with observability of systems governed by ODEs, in a more general setting than the standard output equation. The primary finding is that observability over a time horizon reduces to single-valuedness of the vertical section of a set we name the observability kernel. The latter consists of the viability kernel of the output domain under the augmented system. The approach may be used either for global or local observability, to which available results on single-valuedness of multifunctions shall be applied in order to get necessary and/or sufficient characterizing conditions. Several examples are provided in order to illustrate the method.

Key words: Observability Viability kernel Single-valuedness Lower semicontinuity Monotone multifunctions