Minimum-time strong optimality of a singular arc: The multi-input non involutive case

DOI10.1051/cocv/2015026zbMath1344.49034arXiv1404.7336OpenAlexW2320677241MaRDI QIDQ2994673

Francesca C. Chittaro, Gianna Stefani

Publication date: 3 August 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7336

zbMATH Keywords

second variationsufficient optimality conditionssingular extremalsHamiltonian methodscontrol-affine systemsminimum-time problem

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (7)

Structural stability without coercivity ⋮ Unbounded Control, Infimum Gaps, and Higher Order Normality ⋮ Strong Local Optimality for a Bang-Bang-Singular Extremal: The Fixed-Free Case ⋮ Minimum-time strong optimality of a singular arc: The multi-input non involutive case ⋮ A Higher-Order Maximum Principle for Impulsive Optimal Control Problems ⋮ Strong local optimality for a bang-bang-singular extremal: general constraints ⋮ Singular extremals inL¹-optimal control problems: sufficient optimality conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bang-singular-bang extremals: sufficient optimality conditions
• Impulsive control systems with commutative vector fields
• Impulsive control systems without commutativity assumptions
• Quadratic order conditions for bang-singular extremals
• Control theory from the geometric viewpoint.
• Fréchet generalized trajectories and minimizers for variational problems of low coercivity
• Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
• Minimum-time strong optimality of a singular arc: The multi-input non involutive case
• Constrained Regular LQ-Control Problems
• On the relationship between global and local controllability
• An invariant second variation in optimal control
• The Second Variation for the Singular Bolza Problem
• High Order Necessary Conditions for Optimality
• A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control Problems

This page was built for publication: Minimum-time strong optimality of a singular arc: The multi-input non involutive case