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A modified frequency-domain criterion for gradient-like behavior of discrete phase systems

Vera Smirnova, Alexander Shepeljavyi
Asymptotic behavior of a class of multidimensional discrete control systems with periodic nonlinearities and denumerable set of equilibria is investigated. By means of discrete version of Yakubovich-Kalman theorem and certain modification of Lur'e-Postnikov function a frequency-domain criterion which guarantees that every solution of a system tends to an equilibrium is obtained.
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