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The Lyapunov Problem in Dynamic Control Systems

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Cybernetics and Systems Analysis Aims and scope

Abstract

Vector fields on a compact set generate a semigroup (t ≥ 0) of diffeomorphisms. If a compact set belongs to an attraction domain, then this semigroup can be transformed into a compression group in L2. This result is used to prove that a resolvent of such a semigroup is a kernel operator in the space L2.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    V. F. Zadorozhnyi

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  1. V. F. Zadorozhnyi
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Zadorozhnyi, V.F. The Lyapunov Problem in Dynamic Control Systems. Cybernetics and Systems Analysis 38, 904–910 (2002). https://doi.org/10.1023/A:1022952223468

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  • DOI: https://doi.org/10.1023/A:1022952223468

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