The connection between discrete and continuous state constrained optimal control systems

DOI10.1080/00207179.2019.1706765zbMath1477.49032arXiv1709.01167OpenAlexW2995544091MaRDI QIDQ5165310

Ying Peng, Shuzhen Yang

Publication date: 16 November 2021

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01167

zbMATH Keywords

maximum principlestate constraintsordinary differential equationnear-optimal controllinear-quadratic optimal problem

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Ordinary differential inclusions (34A60) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• The maximum principle for stochastic differential systems with general cost functional
• Maximum principle for optimal control problems with intermediate constraints
• Near-optimal controls of random-switching LQ problems with indefinite control weight costs
• Optimal sampled-data control, and generalizations on time scales
• The hybrid maximum principle is a consequence of Pontryagin's maximum principle
• Deterministic near-optimal control. I: Necessary and sufficient conditions for near-optimality
• Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems
• Linear-quadratic optimal sampled-data control problems: convergence result and Riccati theory
• Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales
• Deterministic Near-Optimal Controls. Part II: Dynamic Programming and Viscosity Solution Approach
• Extremum problems in the presence of restrictions