12 citations · 28 across the 7 of their papers we have counts for
7 papers
Geometric Constrained Variational Calculus. I. - Piecewise smooth extremals
Enrico Massa, Danilo Bruno, Gianvittorio Luria +1
A geometric setup for constrained variational calculus is presented. The analysis deals with the study of the extremals of an action functional defined on piecewise differentiable…
On the gauge structure of the calculus of variations with constraints
Danilo Bruno, Gianvittorio Luria, Enrico Pagani
A gauge-invariant formulation of constrained variational calculus, based on the introduction of the bundle of affine scalars over the configuration manifold, is presented. In the r…
Existence of solutions for Hamiltonian field theories by the Hamilton-Jacobi technique
Danilo Bruno
The paper is devoted to prove the existence of a local solution of the Hamilton-Jacobi equation in field theory, whence the general solution of the field equations can be obtained.…
Constrained variational calculus: the second variation (part I)
Enrico Massa, Danilo Bruno, Gianvittorio Luria +1
Within the geometrical framework developed in arXiv:0705.2362, the problem of minimality for constrained calculus of variations is analysed among the class of differentiable curves…
Constructing a class of solutions for the Hamilton-Jacobi equation in field theory
Danilo Bruno
A new approach leading to the formulation of the Hamilton-Jacobi equation for field theories is investigated within the framework of jet-bundles and multi-symplectic manifolds. An…
Geometric control theory I: mathematical foundations
Enrico Massa, Danilo Bruno, Enrico Pagani
A geometric setup for control theory is presented. The argument is developed through the study of the extremals of action functionals defined on piecewise differentiable curves, in…