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Subjects
49-XX Calculus of variations and optimal control; optimization
49Kxx Optimality conditions
49K15 Problems involving ordinary differential equations

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Variational approach to some optimization control problems

R. Bianchini (1995)

Banach Center Publications

This paper presents the variational approach to some optimization problems: Mayer's problem with or without constraints on the final point, local controllability of a trajectory, time-optimal problems.

Variational calculus on Lie algebroids

Eduardo Martínez (2008)

ESAIM: Control, Optimisation and Calculus of Variations

It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.

Variational formalism applied to control of autonomous switching systems

M. El Bagdouri, B. Cébron, M. Sechilariu, J. Burger (2004)

Control and Cybernetics

Variational optimal-control problems with delayed arguments on time scales.

Abdeljawad, Thabet, Jarad, Fahd, Baleanu, Dumitru (2009)

Advances in Difference Equations [electronic only]

Currently displaying 1 – 4 of 4

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