2 citations · 3 across the 5 of their papers we have counts for
7 papers
Singular extremals in L^1 optimal control problems: sufficient optimality conditions
Francesca Chittaro, Laura Poggiolini
In this paper we are concerned with generalised L 1-minimisation problems, i.e. Bolza problems involving the absolute value of the control with a control-affine dynamics. We establ…
Strong local optimality for generalized L1 optimal control problems
Francesca Chittaro, Laura Poggiolini
In this paper, we analyse control affine optimal control problems with a cost functional involving the absolute value of the control. The Pontryagin extremals associated with such…
Strong local optimality for a bang-bang-singular extremal: the fixed-free case
Laura Poggiolini, Gianna Stefani
In this paper we give sufficient conditions for a Pontryagin extremal trajectory, consisting of two bang arcs followed by a singular one, to be a strong local minimizer for a Mayer…
Structural stability of bang-bang trajectories with a double switching time in the minimum time problem
Laura Poggiolini
In this paper we consider the problem of structural stability of strong local optimisers for the minimum time problem in the case when the nominal problem has a bang-bang strongly…
Structural stability for bang--singular--bang extremals in the minimum time problem
Laura Poggiolini, Gianna Stefani
In this paper we study the structural stability of a bang-singular-bang extremal in the minimum time problem between fixed points. The dynamics is single-input and control-affine.…
Local inversion of planar maps with nice nondifferentiability structure
Laura Poggiolini, Marco Spadini
When the plane is pie-sliced in parts (with nonempty interior and common vertex at the origin) our main result provides a sufficient condition for any map , that is co…
Bang--bang trajectories with a double switching time: sufficient strong local optimality conditions
Laura Poggiolini, Marco Spadini
This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural genera…