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pro vyhledávání: '"Rampazzo, Franco"'
Autor:
Motta, Monica, Rampazzo, Franco
This article makes no claim to originality, other than, perhaps, the simple statement here called the {\it Abstract Maximum Principle}. Actually, the whole contents are strongly based on some H. Sussmann's and coauthors' papers, in which, in a much m
Externí odkaz:
http://arxiv.org/abs/2310.09845
Autor:
Angrisani, Francesca, Rampazzo, Franco
Higher order necessary conditions for a minimizer of an optimal control problem are generally obtained for systems whose dynamics is at least continuously differentiable in the state variable. Here, by making use of the notion of set-valued Lie brack
Externí odkaz:
http://arxiv.org/abs/2308.06867
Publikováno v:
Applied Mathematics and Optimization (2023) 88:52
With reference to an optimal control problem where the state has to approach asymptotically a closed target while paying a non-negative integral cost, we propose a generalization of the classical dissipative relation that defines a Control Lyapunov F
Externí odkaz:
http://arxiv.org/abs/2302.09078
For a control system two major issues can be considered: the stabilizability with respect to a given target, and the minimization of an integral functional (while the trajectories reach this target). Here we consider a problem where stabilizability o
Externí odkaz:
http://arxiv.org/abs/2302.08915
Autor:
Angrisani, Francesca, Rampazzo, Franco
Higher order necessary conditions for a minimizer of an optimal control problem are generally obtained for systems whose dynamics is continuously differentiable in the state variable. Here, by making use of the notion of set-valued Lie bracket we obt
Externí odkaz:
http://arxiv.org/abs/2203.03070
The classical inward pointing condition (IPC) for a control system whose state $x$ is constrained in the closure $C:=\bar\Omega$ of an open set $\Omega$ prescribes that at each point of the boundary $x\in \partial \Omega$ the intersection between the
Externí odkaz:
http://arxiv.org/abs/2110.08530
Autor:
Angrisani, Francesca, Rampazzo, Franco
We explore basic properties and some applications of Quasi Differential Quotients ($QDQ$s) and the related $QDQ$-approximating multi-cones. A $QDQ$, which is a special kind of H.Sussmann's Approximate Generalized Differential Quotient ($AGDQ$), consi
Externí odkaz:
http://arxiv.org/abs/2107.07638
Autor:
Palladino, Michele, Rampazzo, Franco
Publikováno v:
Journal of Differential Equations Volume 269, Issue 11, 15 November 2020, Pages 10107-10142
In optimal control theory the expression infimum gap means a strictly negative difference between the infimum value of a given minimum problem and the infimum value of a new problem obtained by the former by extending the original family V of control
Externí odkaz:
http://arxiv.org/abs/1909.05385
We obtain higher order necessary conditions for a minimum of a Mayer optimal control problem connected with a nonlinear, control-affine system, where the controls range on an m-dimensional Euclidean space. Since the allowed velocities are unbounded a
Externí odkaz:
http://arxiv.org/abs/1903.06109
We consider a nonlinear system, affine with respect to an unbounded control $u$ which is allowed to range in a closed cone. To this system we associate a Bolza type minimum problem, with a Lagrangian having sublinear growth with respect to $u$. This
Externí odkaz:
http://arxiv.org/abs/1903.05056