Structural Stability of Bang-Bang Trajectories with a Double Switching Time in the Minimum Time Problem

DOI10.1137/16M1083761zbMath1385.49016arXiv1607.05564OpenAlexW2962960843MaRDI QIDQ4596856

Laura Poggiolini

Publication date: 11 December 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05564

zbMATH Keywords

bang-bang controlsHamiltonian 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) 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)

Structural stability without coercivity ⋮ Strong Local Optimality for a Bang-Bang-Singular Extremal: The Fixed-Free Case ⋮ On switching properties of time optimal controls for linear ODEs ⋮ Strong local optimality for a bang-bang-singular extremal: general constraints ⋮ Switching Properties of Time Optimal Controls for Systems of Heat Equations Coupled by Constant Matrices

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