Feedback necessary optimality conditions for a class of terminally constrained state-linear variational problems inspired by impulsive control

DOI10.3934/naco.2017014zbMath1368.49020OpenAlexW2624750078MaRDI QIDQ2358904

Stepan Pavlovich Sorokin, Maksim Vladimirovich Staritsyn

Publication date: 27 June 2017

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2017014

zbMATH Keywords

optimal controlmaximum principleimpulsive controlfeedback controlsnonstandard duality

Mathematics Subject Classification ID

Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Optimality conditions (49K99)

Related Items (6)

A 2nd-order one-point numerical integration scheme for fractional ordinary differential equations ⋮ On feedback strengthening of the maximum principle for measure differential equations ⋮ Optimality conditions for optimal impulsive control problems with multipoint state constraints ⋮ Positional minimum principle for impulsive processes ⋮ Numeric algorithm for optimal impulsive control based on feedback maximum principle ⋮ Feedback maximum principle for a class of linear continuity equations inspired by optimal impulsive control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positional strengthenings of the maximum principle and sufficient optimality conditions
• Weakly monotone solutions of the Hamilton-Jacobi inequality and optimality conditions with positional controls
• Variational necessary optimality conditions with feedback descent controls for optimal control problems
• Invariant sets for the nonlinear impulsive control systems
• Nonstandard duality and nonlocal necessary optimality conditions in nonconvex optimal control problems
• Impulsive control systems without commutativity assumptions
• Space-time trajectories of nonlinear systems driven by ordinary and impulsive controls
• Necessary feedback optimality conditions and nonstandard duality in problems of discrete system optimization
• On constrained impulsive control problems
• Optimal regulation processes
• An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures
• Variational Problems with Unbounded Controls

This page was built for publication: Feedback necessary optimality conditions for a class of terminally constrained state-linear variational problems inspired by impulsive control