LYAPUNOV-TYPE THEOREMS FOR ESTIMATION OF OUTPUT OF CONTROL SYSTEM WITH PERIODIC DIFFERENTIABLE NONLINEARITY

Vera Smirnova, Alexander Shepeljavyi, Anton Proskurnikov, Aleksey Perkin

For multidimensional systems of indirect control with periodic differentiable nonlinearities
the problem of cycle-slipping is investigated. By means of generalized Lyapunov periodic functions
and Yakubovich-Kalman frequency theorem, new frequency-algebraic estimates for a number
of slipped cycles are obtained.

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