On nonlinear control systems with multiple time scales

DOI10.1023/B:JODS.0000012015.69096.F1zbMath1128.34039OpenAlexW2041336415MaRDI QIDQ1426953

Götz Grammel

Publication date: 15 March 2004

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jods.0000012015.69096.f1

zbMATH Keywords

nonlinear controlperiodicitysingular perturbationsaveragingTikhonov theoremmultiple time scales

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Time-scale analysis and singular perturbations in control/observation systems (93C70) Control problems involving ordinary differential equations (34H05) Singular perturbations for ordinary differential equations (34E15)

Related Items (5)

Linear programming based optimality conditions and approximate solution of a deterministic periodic optimal control problem in discrete time ⋮ Use of Approximations of Hamilton-Jacobi-Bellman Inequality for Solving Periodic Optimization Problems ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ On average control generating families for singularly perturbed optimal control problems with long run average optimality criteria ⋮ Averaging and linear programming in some singularly perturbed problems of optimal control

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