Methods of regularization in nonsmooth problems of dynamic optimization

DOI10.1007/BF02365018zbMath0936.49004OpenAlexW2070785510MaRDI QIDQ1304132

S. M. Aseev

Publication date: 12 October 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02365018

zbMATH Keywords

differential inclusionsdynamic optimizationnonsmooth problems

Mathematics Subject Classification ID

Related Items (8)

Necessary optimality conditions for a class of optimal control problems with discontinuous integrand ⋮ OPTIMAL MULTIATTRIBUTE SCREENING ⋮ An Optimal Control Problem with a Risk Zone ⋮ An infinite-horizon maximum principle with bounds on the adjoint variable ⋮ Necessary first-order conditions for optimal crossing of a given region ⋮ The Pontryagin maximum principle and problems of optimal economic growth ⋮ On an optimal control problem with discontinuous integrand ⋮ Refined Euler-Lagrange inclusion for an optimal control problem with discontinuous integrand

Cites Work

• State constraints in optimal control. The degeneracy phenomenon
• Smooth approximation of convex bodies
• Moduli of families of locally quasisymmetric surfaces
• Optimal solutions to differential inclusions
• When is the maximum principle for state constrained problems nondegenerate?
• Optimal control in bounded phase space
• A maximum principle for generalized control systems
• Optimal trajectories of generalized control systems with state constraints
• Optimal Control of Unbounded Differential Inclusions
• FIRST-ORDER NECESSARY CONDITIONS IN THE PROBLEM OF OPTIMAL CONTROL OF A DIFFERENTIAL INCLUSION WITH PHASE CONSTRAINTS
• Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints
• Euler-Lagrange and Hamiltonian formalisms in dynamic optimization
• A method of smooth approximation in the theory of necessary optimality conditions for differential inclusions
• The Maximum Principle for an Optimal Solution to a Differential Inclusion with End Points Constraints
• Discrete Approximations and Refined Euler–Lagrange Conditions for Nonconvex Differential Inclusions
• A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
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