Bang-bang trajectories with a double switching time in the minimum time problem

DOI10.1051/cocv/2015021zbMath1344.49037OpenAlexW2313077679MaRDI QIDQ2994668

Marco Spadini, Laura Poggiolini

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://semanticscholar.org/paper/df9acc8a8321c38821c123afceb1938b6d014e80

zbMATH Keywords

Pontryagin's maximum principlestrong local optimalitybang-bang controlsminimum time problemHamiltonian methodssufficient second order conditions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) 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) Control/observation systems governed by ordinary differential equations (93C15) 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 (5)

Local inversion of a class of piecewise regular maps ⋮ Strong Local Optimality for a Bang-Bang-Singular Extremal: The Fixed-Free Case ⋮ Structural Stability of Bang-Bang Trajectories with a Double Switching Time in the Minimum Time Problem ⋮ Strong local optimality for a bang-bang-singular extremal: general constraints ⋮ Singular extremals inL¹-optimal control problems: sufficient optimality conditions

Cites Work

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• Bang-singular-bang extremals: sufficient optimality conditions
• State-local optimality of a bang--bang trajectory: a Hamiltonian approach
• Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
• Strong Local Optimality for a Bang-Bang Trajectory in a Mayer Problem
• Sufficient Optimality Conditions for a Bang-bang Trajectory in a Bolza Problem
• Strong Optimality for a Bang-Bang Trajectory
• Local Inversion of Planar Maps with Nice Nondifferentiability Structure

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