Existence of periodic solutions to automatic control system with relay nonlinearity and sinusoidal external influence

DOI10.1002/RNC.3567zbMath1353.93055OpenAlexW2404262531MaRDI QIDQ2956852

D. K. Potapov, Victoria V. Yevstafyeva, Alexander M. Kamachkin

Publication date: 19 January 2017

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.3567

zbMATH Keywords

periodic solutionscomplex eigenvaluesautomatic control systemssinusoidal external influencerelay nonlinearity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (13)

Periodic solutions for feedback control coupled systems on networks ⋮ Synchronization in Feedback Cyclic Structures of Oscillators with Hysteresis ⋮ Fixed points of a mapping generated by a system of ordinary differential equations with relay hysteresis ⋮ On the existence of two-point oscillatory solutions of a perturbed relay system with hysteresis ⋮ Periodic solutions of a system of differential equations with hysteresis nonlinearity in the presence of eigenvalue zero ⋮ Control design for a perturbed system with an ambiguous nonlinearity ⋮ Criterion for the existence of two-point oscillatory solution of a perturbed system with a relay ⋮ On one type of oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay and a perturbation ⋮ Oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay without entering the saturation zones ⋮ Existence of \(T/k\)-periodic solutions of a nonlinear nonautonomous system whose matrix has a multiple eigenvalue ⋮ Existence of periodic modes in automatic control system with a three-position relay ⋮ Existence of two-point oscillatory solutions of a relay nonautonomous system with multiple eigenvalue of a real symmetric matrix ⋮ Continuous dependence on parameters and boundedness of solutions to a hysteresis system.

Cites Work

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