Predicting the existence of limit cycles using Walsh functions: some further results

DOI10.1080/00207728308926513zbMath0528.93040OpenAlexW1987917772WikidataQ126249871 ScholiaQ126249871MaRDI QIDQ3309561

Mohammad A. Tabatabai, R. G. Cameron

Publication date: 1983

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728308926513

zbMATH Keywords

limit cyclesWalsh functionsnonlinear feedback systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear systems in control theory (93C10) Nonlinear ordinary differential equations and systems (34A34) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

The prediction of limit cycles in asymmetrical feedback systems ⋮ Limit cycle analysis of nonlinear multivariable feedback control systems

Cites Work

• Unnamed Item
• A new approach to the prediction of limit cycles
• Walsh series expansion of composite functions and its application to linear systems
• Analysis and optimal control of linear systems via single term Walsh series approach
• A state-space approach to Walsh series solution of linear systems
• Analysis of Statistical Linearization of Nonlinear Control Systems
• The Describing Function Matrix

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