On existence conditions for a two-point oscillating periodic solution in an non-autonomous relay system with a Hurwitz matrix

DOI10.1134/S000511791506003XzbMath1327.93225OpenAlexW621340451MaRDI QIDQ500171

Yong-Cai Geng, Sumit K. Garg

Publication date: 1 October 2015

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000511791506003x

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Synchronization in Feedback Cyclic Structures of Oscillators with Hysteresis ⋮ On the existence of two-point oscillatory solutions of a perturbed relay system with hysteresis ⋮ On uniqueness and properties of periodic solution of second-order nonautonomous system with discontinuous nonlinearity ⋮ 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 ⋮ Existence of periodic solutions to automatic control system with relay nonlinearity and sinusoidal external influence ⋮ 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 ⋮ Continuous dependence on parameters and boundedness of solutions to a hysteresis system.

Cites Work

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• Existence and computation of stable modes in relay systems
• Optimal control of higher order elliptic distributed systems with a spectral parameter and discontinuous nonlinearity

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