Regular time-optimal syntheses for smooth planar systems

Benedetto Piccoli

Displaying similar documents to “Regular time-optimal syntheses for smooth planar systems”

Geometric control approach to synthesis theory.

Boscain, U., Piccoli, B. (1998)

Rendiconti del Seminario Matematico

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Switchings of optimal controls and the equation $y^{(4)} + {| y |}^{α} s i g n y = 0$ , $0 < α < 1$

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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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 y ( 4 ) + | y | α s i g n y = 0 , 0 < α < 1

Regular syntheses and solutions to discontinuous ODEs

On singular arcs in nonsmooth optimal control

Degeneracy and generalized solutions of optimal control problems

Switchings of optimal controls and the equation $y^{(4)} + {| y |}^{α} s i g n y = 0$ , $0 < α < 1$