Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions

DOI10.1016/S0294-1449(16)30408-5zbMath0576.49013MaRDI QIDQ1065350

Hélène Frankowska

Publication date: 1985

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1985__2_2_75_0

zbMATH Keywords

necessary optimality conditionsBanach spacesdifferential inclusionabstract optimization problemderivative and co-derivative of set-valued mappings

Mathematics Subject Classification ID

Controllability (93B05) Set-valued functions (26E25) Nonlinear systems in control theory (93C10) Ordinary differential inclusions (34A60) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27) Abstract differentiation theory, differentiation of set functions (28A15)

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Cites Work

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• Boundary solutions of differential inclusion
• Optimal solutions to differential inclusions
• Existence theorems for general control problems of Bolza and Lagrange
• Optimization and nonsmooth analysis
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• Shadow Prices and Duality for a Class of Optimal Control Problems
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Tangent Sets’ Calculus and Necessary Conditions for Extremality
• Generalized Gradients and Applications
• The Generalized Problem of Bolza
• Survey of Measurable Selection Theorems