Semiconcavity results for optimal control problems admitting no singular minimizing controls
P. Cannarsa, L. Rifford (2008)
Annales de l'I.H.P. Analyse non linéaire
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P. Cannarsa, L. Rifford (2008)
Annales de l'I.H.P. Analyse non linéaire
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Carlo Sinestrari (2004)
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.
N. Dilna, A. Rontó (2008)
Mathematica Bohemica
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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
Hoda A. Ali (2006)
Mathematica Slovaca
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Alexander J. Zaslavski (2006)
Annales de l'I.H.P. Analyse non linéaire
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