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Observability by using viability kernels

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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.

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Authors and Affiliations

  1. Systems and Control Group, University Hassan II, Casablanca, 20100, Morocco

    Khalid Kassara

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  1. Khalid Kassara
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Correspondence to Khalid Kassara.

Additional information

This work was supported by the Hassan II Academy of Sciences and Technics of Morocco.

Khalid KASSARA received his State Doctorate in Systems and Control from University of Rabat, Morocco, in 1996. He currently holds the position of full professor at University of Casablanca, where he serves as the director of MACS|Systems and Control Group. His research interests include nonlinear control, distributed parameter systems, setvalued control and their applications to applied sciences. He has introduced and investigated the new concepts of spreadability and spreading control for distributed parameter systems, and during some years ago, as a control application, he is studying cancer control by providing expressions for feedback protocol laws through the associated mathematical models.

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Kassara, K. Observability by using viability kernels. J. Control Theory Appl. 10, 303–308 (2012). https://doi.org/10.1007/s11768-012-1022-x

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  • DOI: https://doi.org/10.1007/s11768-012-1022-x

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