On the no-gap second-order optimality conditions for a discrete optimal control problem with mixed constraints

DOI10.1007/s10957-017-1094-3zbMath1370.49018OpenAlexW2596396145MaRDI QIDQ2363565

Bui Thi Thanh, Le Quang Thuy, Nguyen Thi Toan

Publication date: 20 July 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1094-3

zbMATH Keywords

discrete optimal control problemsecond-order necessary optimality conditionsecond-order sufficient optimality conditionmixed constraintno-gap second-order optimality condition

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Discrete-time control/observation systems (93C55) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items

Second-order sufficient optimality conditions for an optimal control problem with mixed constraints ⋮ Second-order KKT optimality conditions for multiobjective discrete optimal control problems ⋮ Second-order necessary optimality conditions for an optimal control problem ⋮ Differential stability of discrete optimal control problems with mixed contraints ⋮ The Lipschitz properties of the value function and the solution map to a parametric discrete optimal control problem ⋮ Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map

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