Temat: nonlinear control - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Raport Badawczy = Research Report ; RB/4/2005
First and second order optimality conditions for state constrained optimal control problems
Autorzy:: Malanowski, Kazimierz. Autor
Wydawca:: Instytut Badań Systemowych. Polska Akademia Nauk
Systems Research Institute. Polish Academy of Sciences
Powiązania:: Raport Badawczy = Research Report
Opis:: First and second order optimality conditions for nonlinear optimal control problems, subject to mixed control state and and pure state constraints of order one, are considered. It is shown that, under the introduced constraints qualifications, a normal Lagrane multiplier exists, is unique and regular. Second order optimality conditions, both sufficient and necessary are derived. In each case strongly active constraints are taken into account.
Bibliography p. 32-34
34 pages ; 21 cm
34 stron ; 21 cm
Bibliografia s. 32-34
Dostawca treści:: RCIN - Repozytorium Cyfrowe Instytutów Naukowych

Książka

Skocz do pozycji: 2.

Tytuł:: Stability analysis for nonlinear optimal control problems subject to state constraints
Raport Badawczy = Research Report ; RB/32/2006
Autorzy:: Malanowski, Kazimierz. Autor
Wydawca:: Instytut Badań Systemowych. Polska Akademia Nauk
Systems Research Institute. Polish Academy of Sciences
Powiązania:: Raport Badawczy = Research Report
Opis:: Bibliography p. 19-20
20 pages ; 21 cm
Bibliografia s. 19-20
20 stron ; 21 cm
There is considered a family of nonlinear optimal control problems depending on a functional parameter. The problems are subject to state constraints. The conditions are derived, under which the solutions and Lagrange multipliers are locally Lipschitz continuous functions of the parameter. Those conditions consist of constraint qualifications and weakened coercivity conditions.
Dostawca treści:: RCIN - Repozytorium Cyfrowe Instytutów Naukowych

Książka

Skocz do pozycji: 3.

Tytuł:: Raport Badawczy = Research Report ; RB/35/2006
A characterization of stability and sensitivity properties for state-constrained optimal control
Autorzy:: Malanowski, Kazimierz. Autor
Wydawca:: Instytut Badań Systemowych. Polska Akademia Nauk
Systems Research Institute. Polish Academy of Sciences
Powiązania:: Raport Badawczy = Research Report
Opis:: In a series of the recent papers of the author, it was shown that, the solutions and Lagrange multipliers of state-constrained optimal control problems are locally Lipschitz continuous and directionally differentiable functions of the parameter, under usual constraint qualifications and weakened second order conditions. In this paper, it is shown that those conditions are not only sufficient, but also necessary. Thus, they constitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.
Bibliography p. 11-12
Bibliografia s. 11-12
12 stron ; 21 cm
12 pages ; 21 cm
Dostawca treści:: RCIN - Repozytorium Cyfrowe Instytutów Naukowych

Książka

Skocz do pozycji: 4.

Tytuł:: Stability and sensitivity analysis for state-constrained optimal control problems
Raport Badawczy = Research Report ; RB/34/2006
Autorzy:: Malanowski, Kazimierz. Autor
Wydawca:: Instytut Badań Systemowych. Polska Akademia Nauk
Systems Research Institute. Polish Academy of Sciences
Powiązania:: Raport Badawczy = Research Report
Opis:: 64 pages ; 21 cm
Bibliografia s. 61-64
64 stron ; 21 cm
Bibliography p. 61-64
There is considered a family of optimal control problems (0)h with smooth data, subject to state constraints of the first order. The problems depend on a functional parameter h. It is shown that if certain constraint qualifications and weakened second-order sufficient optimality conditions are satisfied at the reference point, then the solutions and Lagrange multipliers are locally unique and they are Lipschitz continuous and directionally differentiable functions of the parameter.
Dostawca treści:: RCIN - Repozytorium Cyfrowe Instytutów Naukowych

Książka

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