5 papers · 1 filter
Flows of vector fields and the Kalman Theorem
Fabio Bagagiolo, Cristina Giannotti, Andrea Spiro +1
We give two proofs of the Kalman Theorem, alternative to the most common ones, which infer such a classical result of Control Theory using just very basic facts on flows of vector…
Distributions and controllability problems (II)
Cristina Giannotti, Andrea Spiro, Marta Zoppello
In [C. Giannotti, A. Spiro, M. Zoppello, {\it Distributions and controllability problems (I)}, preprint posted on ArXiv (2024)], we introduced a new approach to the real analytic n…
Distributions and controllability problems (I)
Cristina Giannotti, Andrea Spiro, Marta Zoppello
We consider a non-linear real analytic control system of first order , with controls in a connected open set …
On the Pontryagin Maximum Principle under differential constraints of higher order
Franco Cardin, Cristina Giannotti, Andrea Spiro
Exploiting our previous results on higher order controlled Lagrangians in [Nonlinear Anal. {\bf 207} (2021), 112263], we derive here an analogue of the classical first order Pontry…
Control problems with differential constraints of higher order
Franco Cardin, Cristina Giannotti, Andrea Spiro
We consider cost minimising control problems, in which the dynamical system is constrained by higher order differential equations of Euler-Lagrange type. Following ideas from a pre…