Weak maximum principle for optimal control problems with mixed constraints

DOI10.1016/S0362-546X(01)00094-3zbMath1019.49024OpenAlexW2061814534WikidataQ123110245 ScholiaQ123110245MaRDI QIDQ1348786

Maria do Rosário de Pinho, Achim Ilchmann

Publication date: 5 September 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00094-3

zbMATH Keywords

optimal controlmaximum principlenonsmooth analysisjoint state-control constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (9)

Mixed constrained control problems ⋮ A constant rank constraint qualification in continuous-time nonlinear programming ⋮ A weak maximum principle for optimal control problems with nonsmooth mixed constraints ⋮ A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ Necessary optimality conditions for optimal control problems with nonsmooth mixed state and control constraints ⋮ Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems ⋮ Necessary optimality conditions for minimax optimal control problems with mixed constraints ⋮ Optimal Control with Nonregular Mixed Constraints: An Optimization Approach

Cites Work

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• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Maximum principle for implicit control systems
• Necessary conditions for optimal control problems involving nonlinear differential algebraic equations
• A maximum principle for optimal control problems with mixed constraints
• Matrix Analysis
• First- and Second-Order Necessary Conditions for Control Problems with Constraints
• On the weak maximum principle for optimal control problems with state dependent control constraints
• Variational Analysis
• An Euler-Lagrange inclusion for optimal control problems
• Optimality Conditions for a Constrained Control Problem
• An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. I. General Theory

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