Averaging in optimal switching control problems

DOI10.1007/s11766-000-0015-6zbMath0965.93066OpenAlexW2006471415MaRDI QIDQ1976464

Fenglin Xu

Publication date: 10 May 2000

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-000-0015-6

zbMATH Keywords

Hamilton-Jacobi-Bellman equationsvalue functionaveragingviscosity solutionsswitching controloptimal switching

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Averaging method for ordinary differential equations (34C29) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Cites Work

• Systems governed by ordinary differential equations with continuous, switching and impulse controls
• Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints
• Optimal Switching for Ordinary Differential Equations
• Analyse Asymptotique et Probleme Homogeneise en Controle Optimal avec Vibrations Rapides
• Averaging in Lagrange and Minimax Problems of Optimal Control
• Averaging and Deterministic Optimal Control
• The perturbed test function method for viscosity solutions of nonlinear PDE

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