On Existence of Periodic Motions in Nonlinear Control Systems with Periodic Inputs

DOI10.1137/0318043zbMath0464.93034OpenAlexW1992828919MaRDI QIDQ3916461

Anthony N. Michel, Richard K. Miller

Publication date: 1980

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0318043

zbMATH Keywords

periodic solutionsintegrodifferential equationhysteresis nonlinearitiesSchauder fixed point theoremdiscontinuous nonlinearitiessystems with delayssinusoidal forcing

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Equations involving nonlinear operators (general) (47J05) Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10)

Related Items (6)

Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution ⋮ Stability analysis of almost sinusoidal periodic oscillations in nonlinear control systems subjected to nonconstant periodic input ⋮ Optimality for periodic control of functional differential systems ⋮ On the existence of self-excited oscillations in systems with discontinuous elements ⋮ Application of a method of averaging to the study of dithers in non-linear systems ⋮ A theoretical justification of the method of harmonic balance for systems with discontinuities

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