Autor: Stefani, G. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Sufficient optimality conditions for a bang-singular extremal in the minimum time problem
Autorzy:: Poggiolini, L.
Stefani, G.
Powiązania:: https://bibliotekanauki.pl/articles/969613.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: minimum time
second order sufficient conditions
bang-singular arc
Hamiltonian formalism
Opis:: The paper gives second order sufficient conditions for the strong local optimality of a bang-singular extremal in a minimum time problem. The conditions are given in terms of regularity assumptions on the extremal and of the coercivity of the extended second variation associated to the minimum time problem with fixed end-points on the singular arc. The conditions are close to the necessary ones in the usual sense, namely we require strict inequalities where necessary conditions have mild inequalities.
Źródło:: Control and Cybernetics; 2008, 37, 2; 469-490
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Singular extremals in multi-input time-optimal problems: a sufficient condition
Autorzy:: Chittaro, F. C.
Stefani, G.
Powiązania:: https://bibliotekanauki.pl/articles/970214.pdf
Data publikacji:: 2010
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: second variation
singular extremal
sufficient condition
Hamiltonian methods
Opis:: In this paper we study second order sufficient conditions for the strong-local optimality of singular Pontryagin extremals. In particular, we focus on the minimum-time problem for a control-affine system with vector inputs. We use Hamiltonian methods to prove that the coercivity of a suitably-defined second variation - plus an involutivity assumption on the distribution of the controlled fields - is a sufficient condition for the strong optimality of a candidate extremal.
Źródło:: Control and Cybernetics; 2010, 39, 4; 1029-1068
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Optimality and stability result for bang-bang optimal controls with simple and double switch behaviour
Autorzy:: Felgenhauer, U.
Poggiolini, L.
Stefani, G.
Powiązania:: https://bibliotekanauki.pl/articles/970776.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: bang-bang control
parametric control problems
Hamiltonian flows
Opis:: The paper considers parametric optimal control problems with bang-bang control vector function. For this problem we give regularity and second-order optimality conditions at the nominal solution which are sufficient to: (i) existence and local uniqueness of extremals, (ii) local structure stability, (iii) strong local optimality, under parameter perturbations. Here "local" means in a L∞ neighbourhood of the nominal trajectory, regardless of the control values. Stability results were obtained by the first author using the shooting approach, while optimality results were obtained by the other authors, using the Hamiltonian approach. The paper, combining both approaches, allows to unify the assumptions and to close some gaps between optimality and stability results.
Źródło:: Control and Cybernetics; 2009, 38, 4B; 1305-1325
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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