The employment of periodic Lyapunov functions for asymptotic analysis of multidimensional phase control systems

For continuous and discrete phase control systems the problem of gradient-like behavior and the problem of a number of slipped cycles are considered. By means of generalized periodic Lyapunov-type functions and Yakubovich-Kalman theorem new frequency-domain stability criteria as well
as new frequency-domain estimates for the number of slipped cycles are obtained.

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