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
N. E. Barabanov, Sib. Mat. Zh. 28(2), 21–34 (1987).
N. V. Kuznetsov, Differ. Uravn. Protsessy Uprvalen. (electronic), No. 3 (2004), http://www.neva.ru/journal.
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].
A. Kh. Gelig and A. N. Churilov, Stability and Oscillations of Nonlinear Pulse-Modulated Systems (Birkhäuser, Boston, 1998).
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).
A. Kh. Gelig, Prikl. Mat. Mekh. 62(8), 231–238 (2003).
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