Discrete calculus of variations for quadratic Lagrangians

zbMath1275.49040MaRDI QIDQ380625

L. Smoch, Philippe Ryckelynck

Publication date: 14 November 2013

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1374153494

zbMATH Keywords

functional equationscalculus of variationsnull Lagrangiansquadratic Lagrangians

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (1)

Quadratic choreographies

Cites Work

• Unnamed Item
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• Non-differentiable variational principles
• \(\Gamma \)-convergence of variational integrators for constrained systems
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• An application of time scales to economics
• Delta-nabla optimal control problems
• Discrete mechanics and optimal control: An analysis
• The contingent epiderivative and the calculus of variations on time scales
• Discrete mechanics and variational integrators

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