Geometric control approach to synthesis theory.
Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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Displaying similar documents to “Regular time-optimal syntheses for smooth planar systems”
Geometric control approach to synthesis theory.
Switchings of optimal controls and the equation ,
Pavol Brunovský, John J. Mallet-Paret (1985)
Časopis pro pěstování matematiky
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Regular syntheses and solutions to discontinuous ODEs
Alessia Marigo, Benedetto Piccoli (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we analyze several concepts of solution to discontinuous ODEs in relation to feedbacks generated by optimal syntheses. Optimal trajectories are called Stratified Solutions in case of regular synthesis in the sense of Boltyanskii-Brunovsky. We introduce a concept of solution called Krasowskii Cone Robust that characterizes optimal trajectories for minimum time on the plane and for general problems under suitable assumptions.
On singular arcs in nonsmooth optimal control
Hans Oberle, Ricki Rosendahl (2008)
Control and Cybernetics
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Degeneracy and generalized solutions of optimal control problems
Vladimir Gurman (2009)
Control and Cybernetics
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Regularity along optimal trajectories of the value function of a Mayer problem
Carlo Sinestrari (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider an optimal control problem of Mayer type and prove that, under suitable conditions on the system, the value function is differentiable along optimal trajectories, except possibly at the endpoints. We provide counterexamples to show that this property may fail to hold if some of our conditions are violated. We then apply our regularity result to derive optimality conditions for the trajectories of the system.