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Stability of pulse-modulated systems with a monotone equivalent nonlinearity in the modulator

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Abstract

A pulse-modulated system described by a functional differential equation is considered. Sufficient frequency conditions for global stability are obtained by using the averaging method and a frequency theorem.

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References

  1. N. E. Barabanov, Sib. Mat. Zh. 28(2), 21–34 (1987).

    MATH  MathSciNet  Google Scholar 

  2. N. V. Kuznetsov, Differ. Uravn. Protsessy Uprvalen. (electronic), No. 3 (2004), http://www.neva.ru/journal.

  3. A. Kh. Gelig, I. E. Zuber, and A. N. Churilov, Stability and Stabilization of Nonlinear Systems (Izd. S.-Peterburg. Univ., St. Petersburg, 2006) [in Russian].

    Google Scholar 

  4. A. Kh. Gelig and A. N. Churilov, Stability and Oscillations of Nonlinear Pulse-Modulated Systems (Birkhäuser, Boston, 1998).

    MATH  Google Scholar 

  5. V. A. Yakubovich, G. A. Leonov, and A. Kh. Gelig, Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities (World Sci., New Jersey, 2004).

    MATH  Google Scholar 

  6. A. Kh. Gelig, Prikl. Mat. Mekh. 62(8), 231–238 (2003).

    MathSciNet  Google Scholar 

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Authors
  1. V. A. Muranov
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Additional information

Original Russian Text © V.A. Muranov, 2007, published in Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya, 2007, No. 4, pp. 91–99.

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Muranov, V.A. Stability of pulse-modulated systems with a monotone equivalent nonlinearity in the modulator. Vestnik St.Petersb. Univ.Math. 40, 294–301 (2007). https://doi.org/10.3103/S1063454107040073

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  • DOI: https://doi.org/10.3103/S1063454107040073

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