Geometric constrained variational calculus I: Piecewise smooth extremals

DOI10.1142/S0219887815500619zbMath1319.49031arXiv1503.08808OpenAlexW2086766110MaRDI QIDQ5261035

Gianvittorio Luria, Enrico M. Pagani, Danilo Bruno, Enrico Massa

Publication date: 1 July 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08808

zbMATH Keywords

Lagrange multipliersPontryagin maximum principlegeometric constrained calculus of variationsextremaloids

Mathematics Subject Classification ID

Geometric methods (93B27) Nonholonomic systems related to the dynamics of a system of particles (70F25) Optimality conditions for problems involving ordinary differential equations (49K15) Existence theories in calculus of variations and optimal control (49J99)

Related Items (7)

A new geometrical look at Ostrogradsky’s procedure ⋮ Deformation of piecewise differentiable curves in constrained variational calculus ⋮ On the Herglotz variational problem ⋮ The non-holonomic Herglotz variational problem ⋮ On the notion of Jacobi fields in constrained calculus of variations ⋮ Geometric constrained variational calculus. II: The second variation (Part I) ⋮ Geometric constrained variational calculus. III: The second variation (Part II)

Cites Work

• Some geometric aspects of variational calculus in constrained systems
• Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
• ON THE GAUGE STRUCTURE OF THE CALCULUS OF VARIATIONS WITH CONSTRAINTS
• Non-holonomic Lagrangian and Hamiltonian mechanics: an intrinsic approach
• Skinner–Rusk unified formalism for optimal control systems and applications
• CONSTRAINT ALGORITHM FOR EXTREMALS IN OPTIMAL CONTROL PROBLEMS
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