A maximum principle for nonsmooth optimal-control problems with state constraints

DOI10.1016/0022-247X(82)90099-3zbMath0519.49011MaRDI QIDQ1054273

Richard B. Vinter, Georgios Pappas

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

maximum principlestate constraintsvariational principlepenalty termnonsmooth function

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Variational principles in infinite-dimensional spaces (58E30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Continuity and differentiation questions (26B05) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (19)

Controllability and extremality in nonconvex differential inclusions ⋮ Optimal trajectories of generalized control systems with state constraints ⋮ Differential inclusions with free time ⋮ A maximum principle for differential inclusion problems with state constraints ⋮ A maximum principle for optimal control problems with state and mixed constraints ⋮ Epi-Lipschitz-like sets in Banach space: theorems and examples ⋮ An integral-type constraint qualification to guarantee nondegeneracy of the maximum principle for optimal control problems with state constraints ⋮ Controllability, extremality, and abnormality in nonsmooth optimal control ⋮ On a few questions regarding the study of state-constrained problems in optimal control ⋮ Normality and nondegeneracy for optimal control problems with state constraints ⋮ Necessary conditions for adverse control problems expressed by relaxed derivatives ⋮ Pontryagin type conditions for differential inclusions with free time ⋮ Minimax optimal control problem with state constraints ⋮ Necessary conditions for optimal control problems with state constraints ⋮ Open-loop control of a plant described by a system with nonsmooth right-hand side ⋮ Necessary optimality conditions for minimax optimal control problems with mixed constraints ⋮ A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle ⋮ A maximum principle for nonsmooth optimal-control problems with state constraints ⋮ Optimal solutions to differential inclusions in presence of state constraints

Cites Work

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• A maximum principle for nonsmooth optimal-control problems with state constraints
• On the variational principle
• Necessary Conditions in Nonsmooth Optimization
• Generalized Gradients and Applications
• Controllability and Necessary Conditions in Unilateral Problems without Differentiability Assumptions
• The Maximum Principle under Minimal Hypotheses
• A New Approach to Lagrange Multipliers

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