On the existence of Lipschitz continuous optimal feedback control

DOI10.1007/s10013-019-00347-5zbMath1427.49044OpenAlexW2942699329WikidataQ127973255 ScholiaQ127973255MaRDI QIDQ2330973

Asen L. Dontchev, Vladimir M. Veliov, Mikhail I. Krastanov

Publication date: 23 October 2019

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-019-00347-5

zbMATH Keywords

optimal controloptimal feedback controlLipschitz continuityvalue function

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Regularity of solutions in optimal control (49N60) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

On the Accuracy of the Model Predictive Control Method, Approximating optimal finite horizon feedback by model predictive control, Optimal control of three-dimensional unsteady partial differential equations with convection term in continuous casting, A viscosity solution approach to regularity properties of the optimal value function, Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Mixed Control-State Constraints, Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls

Cites Work

• Efficient estimates of the solutions of perturbed control problems
• Metrically Regular Differential Generalized Equations
• Lipschitzian Stability in Nonlinear Control and Optimization
• Modern Real Analysis
• Implicit Functions and Solution Mappings
• Multiplier Methods for Nonlinear Optimal Control
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations