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EnglishWe 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 |
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