Local regularity of optimal trajectories for control problems with general boundary conditions

DOI10.1007/s10883-005-0003-5zbMath1062.49017OpenAlexW2013344057MaRDI QIDQ1774538

Mario Sigalotti

Publication date: 17 May 2005

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-005-0003-5

zbMATH Keywords

optimal controlregularityindex theorytransversality conditionsmanifold-to-point problempoint-to-point problem

Mathematics Subject Classification ID

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 (10)

On the analysis of nonlinear nilpotent switched systems using the Hall-Sussmann system ⋮ Stability analysis of switched systems using variational principles: An introduction ⋮ Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions ⋮ Switching in time-optimal problem: the 3D case with 2D control ⋮ Optimal control and applications to aerospace: some results and challenges ⋮ Optimality of broken extremals ⋮ Fuller Singularities for Generic Control-Affine Systems with an Even Number of Controls ⋮ Time-optimal trajectories of generic control-affine systems have at worst iterated Fuller singularities ⋮ Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions ⋮ Switching in Time-Optimal Problem with Control in a Ball

Cites Work

• Unnamed Item
• Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications
• Optimal syntheses for control systems on 2-D manifolds
• Control theory from the geometric viewpoint.
• On regularity properties of extremal controls
• The generic local structure of time-optimal synthesis with a target of codimension one in dimension greater than two
• Regular time-optimal syntheses for smooth planar systems
• On the Local Structure of Time-Optimal Bang-Bang Trajectories in $\mathbb{R}^3$
• THE EXPONENTIAL REPRESENTATION OF FLOWS AND THE CHRONOLOGICAL CALCULUS
• A SECOND ORDER OPTIMALITY PRINCIPLE FOR A TIME-OPTIMAL PROBLEM
• On the Local Structure of Optimal Trajectories in R³
• Toward a Geometric Theory in the Time-Minimal Control of Chemical Batch Reactors

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