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Uniform controllability via the limiting systems

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Abstract

The relations between uniform controllability of a time varying system and mere controllability of its limiting systems are studied. The necessary and the sufficient conditions that are developed enable one to apply the available controllability tests in order to establish or refute uniform controllability. Examples and applications are provided along with the analogous considerations for observability.

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Authors and Affiliations

  1. Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot, Israel

    Zvi Artstein

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  1. Zvi Artstein
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Communicated by A. V. Balakrishnan

The research was supported by The Israel Academy of Sciences and Humanities—Basic Research Foundation.

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Artstein, Z. Uniform controllability via the limiting systems. Appl Math Optim 9, 111–131 (1982). https://doi.org/10.1007/BF01460121

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  • DOI: https://doi.org/10.1007/BF01460121

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