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Generalized solutions of semistate equations and stability

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Abstract

In this paper, solvability and stability of nonlinear, time-varying semistate equations is discussed. It is shown that generalized solutions exist in a vicinity of an equilibrium. Moreover, results on a Liapunov-like (uniform, asymptotic) stability are given.

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References

  1. R. W. Newcomb, The semistate description of nonlinear time-variable circuits,IEEE Trans. Circuits and Systems,28, 62–71, 1981.

    Google Scholar 

  2. J. Dieudonné,Foundation of Modern Analysis, Academic Press, New York, 1960.

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  3. M. Vidyasagar,Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1978.

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Authors and Affiliations

  1. Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, 11794-3600, Stony Brook, New York, USA

    Vaclav Dolezal

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  1. Vaclav Dolezal
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Dolezal, V. Generalized solutions of semistate equations and stability. Circuits Systems and Signal Process 5, 391–403 (1986). https://doi.org/10.1007/BF01599616

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  • DOI: https://doi.org/10.1007/BF01599616

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