Sharpened Estimates For The Number Of Slipped Cycles In Control Systems With Periodic Differentiable Nonlinearities

Smirnova, Vera; Shepeljavyi, Alexander; Proskurnikov, Anton; Perkin, Aleksey

Root / CYBERNETICS AND PHYSICS / Volume 2, 2013, Number 4. Synchronization Of Complex Systems And Networks (Topical issue) / Sharpened Estimates For The Number Of Slipped Cycles In Control Systems With Periodic Differentiable Nonlinearities

Sharpened Estimates For The Number Of Slipped Cycles In Control Systems With Periodic Differentiable Nonlinearities

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-Popov lemma, new frequency-algebraic estimates for a number of slipped cycles are obtained.
CYBERNETICS AND PHYSICS, Vol. 2, No. 4, 222–231.

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