Asymptotic approach on conjugate points for minimal time bang-bang controls

DOI10.1016/j.sysconle.2010.08.008zbMath1218.49012OpenAlexW2003340596MaRDI QIDQ616961

Emmanuel Trélat, Cristiana J. Silva

Publication date: 12 January 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.08.008

zbMATH Keywords

optimal controlbang-bang controlconjugate timeminimal time problem

Mathematics Subject Classification ID

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Cites Work

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• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• On the stabilization problem for nonholonomic distributions
• Sufficient conditions for relative minima of broken extremals in optimal control theory
• Transformation of quadratic forms to perfect squares for broken extremals
• Morse-Sard type results in sub-Riemannian geometry
• Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
• Control theory from the geometric viewpoint.
• Second-order sufficient conditions for control problems with mixed control-state constraints
• Sensitivity analysis for parametric control problems with control-state constraints
• 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
• First- and Second-Order Sufficient Optimality Conditions for Bang-Bang Controls
• A High Order Test for Optimality of Bang–Bang Controls
• Second order optimality conditions in the smooth case and applications in optimal control
• The Relationship between the Maximum Principle and Dynamic Programming
• The Structure of Small-Time Reachable Sets in Low Dimensions
• First and second order sufficient optimality conditions in mathematical programming and optimal control
• THE INDEX OF THE SECOND VARIATION OF A CONTROL SYSTEM
• The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency
• On the Local Structure of Optimal Trajectories in R³
• Regular Synthesis and Sufficiency Conditions for Optimality
• Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control
• Parametrized Families of Extremals and Singularities in Solutions to the Hamilton--Jacobi--Bellman Equation
• Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach
• Strong Optimality for a Bang-Bang Trajectory
• Second-Order Optimality Conditions in Sets of ${\text{L}}^\infty $ Functions with Range in a Polyhedron
• Smooth Regularization of Bang-Bang Optimal Control Problems
• Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
• Set-valued analysis
• Sensitivity analysis for optimal control problems subject to higher order state constraints
• Computational sensitivity analysis for state constrained optimal control problems

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