7 citations · 15 across the 6 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…
Peano on definition of surface area
Gabriele H. Greco, Sonia Mazzucchi, Enrico M. Pagani
In this paper we investigate the evolution of the concept of area in Peano's works, taking into account the main role played by Grassmann's geometric-vector calculus and Peano's th…
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…
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…
Reworking on affine exterior algebra of Grassmann, Peano and his school
Gabriele H. Greco, Enrico M. Pagani
In this paper a construction of affine exterior algebra of Grassmann, with a special attention to the revisitation of this subject operated by Peano and his School, is examined fro…
Peano on derivative of measures, strict derivative of distributive set functions
Gabriele H. Greco, Sonia Mazzucchi, Enrico M. Pagani
By retracing research on coexistent magnitudes (grandeurs coexistantes) by Cauchy (1841), Peano in "Applicazioni geometriche del calcolo infinitesimale" (1887) defines the "density…
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…