The Averaged Control System of Fast-Oscillating Control Systems

DOI10.1137/11085791XzbMath1282.34067arXiv1112.0983MaRDI QIDQ2848585

Alex Bombrun, Jean-Baptiste Pomet

Publication date: 26 September 2013

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

Full work available at URL: https://arxiv.org/abs/1112.0983

zbMATH Keywords

optimal controlcontrol systemsFinsler geometryaveragingsmall control

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) System structure simplification (93B11) Control problems involving ordinary differential equations (34H05) Averaging method for ordinary differential equations (34C29) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

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