We study structural stability and local uniqueness of bang-bang-singular extremals in a fixed-free Mayer problem. The problem can be seen as an optimal control problem where the dynamics is control-affine. We prove our results under the same assumptions on the nominal problem that permit us to prove that the extremal is a strict strong local optimiser: suitable regularity assumptions and coercivity of a restriction of the {em extended second variation}. We also assume that the condition that prevents the coercivity of the extended second variation is stable with respect to the parameter.
Structural stability without coercivity / Poggiolini Laura; Stefani Gianna. - In: OPTIMIZATION. - ISSN 0233-1934. - STAMPA. - (In corso di stampa), pp. 0-0.
Titolo: | Structural stability without coercivity | |
Autori di Ateneo: | ||
Autori: | Poggiolini Laura; Stefani Gianna | |
Anno di registrazione: | Being printed | |
Rivista: | ||
Pagina iniziale: | 0 | |
Pagina finale: | 0 | |
Abstract: | We study structural stability and local uniqueness of bang-bang-singular extremals in a fixed-free Mayer problem. The problem can be seen as an optimal control problem where the dynamics is control-affine. We prove our results under the same assumptions on the nominal problem that permit us to prove that the extremal is a strict strong local optimiser: suitable regularity assumptions and coercivity of a restriction of the {em extended second variation}. We also assume that the condition that prevents the coercivity of the extended second variation is stable with respect to the parameter. | |
Handle: | http://hdl.handle.net/2158/1253712 | |
Appare nelle tipologie: | 1a - Articolo su rivista |