Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints
DOI10.1016/j.na.2017.03.004zbMath1373.49022OpenAlexW2601501230MaRDI QIDQ2358248
Z. T. Zhukovskaya, Aram V. Arutyunov, Ilya A. Shvartsman
Publication date: 22 June 2017
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/j.na.2017.03.004
Regularity of solutions in optimal control (49N60) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
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Cites Work
- Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments
- Perturbations of extremal problems with constraints and necessary optimality conditions
- New approximation method in the proof of the Maximum Principle for nonsmooth optimal control problems with state constraints
- Convex analysis and measurable multifunctions
- Quadratic order conditions for bang-singular extremals
- The Pontryagin maximum principle and sufficient optimality conditions for nonlinear problems
- Singular trajectories and their role in control theory
- A simple `finite approximations' proof of the Pontryagin maximum principle under reduced differentiability hypotheses
- Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints
- Second-order characterizations of tilt stability with applications to nonlinear programming
- Second-Order Optimality Conditions for Singular Pontryagin Local Minimizers
- Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability
- Second order optimality conditions in the smooth case and applications in optimal control
- Singular Trajectories of Control-Affine Systems
- Abnormal extremal problems and optimality conditions
- Smooth abnormal problems in extremum theory and analysis
- High‐order necessary optimality conditions for control problems with terminal constraints
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- The Second Variation for the Singular Bolza Problem
- Necessary Conditions for Singular Extremals Involving Multiple Control Variables
- High Order Necessary Conditions for Optimality
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