Temat: parametric control problems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A characterization of stability and sensitivity properties for state-constrained optimal control
Autorzy:: Malanowski, K.
Powiązania:: https://bibliotekanauki.pl/articles/970245.pdf
Data publikacji:: 2007
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowanie optymalne
optimal control
nonlinear ODEs
state constraints
parametric problems
stability and sensitivity analysis
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 consitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.
Źródło:: Control and Cybernetics; 2007, 36, 3; 711-726
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Time-parametric control : uniform convergence of the optimal value functions of discretized problems
Autorzy:: Gugat, M.
Powiązania:: https://bibliotekanauki.pl/articles/206773.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: ciąg
dyskretyzacja
funkcja celu
optymalizacja parametryczna
profil momentu
systemy sterowania minimalno-czasowe
warunek Hoeldera
warunek Lipschitza
zbieżność jednakowa
continuity
discretization
Hoelder condition
Lipschitz condition
moment problems
optimal value function
parametric optimization
time-minimal control
uniform convergence
Opis:: The problem of time-optimal control of linear hyperbolic systems is equivalent to the computation of the root of the optimal value function of a time-parametric program, whose feasible set is described by a countable system of moment equations. To compute this root, discretized problems with a finite number of equality constraints can be used. In this paper, we show that on a certain time-interval, the optimal value functions of the discretized problems converge uniformly to the optimal value function of the original problem. We also give sufficient conditions fot Lipschitz and Hoelder continuity of the optimal value function of the original problem.
Źródło:: Control and Cybernetics; 1999, 28, 1; 7-33
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

Skocz do pozycji: 4.

Tytuł:: Stability analysis of variational inequalities for bang-singular-bang controls
Autorzy:: Felgenhauer, U.
Powiązania:: https://bibliotekanauki.pl/articles/206215.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: parametric optimal control problems bang-singular control structure
approximation of extremals
Opis:: The paper is related to parameter dependent optimal control problems for control-affine systems. The case of scalar reference control with bang-singular-bang structure is considered. The analysis starts from a variational inequality (VI) formulation of Pontryagin’s Maximum Principle. In a first step, under appropriate higher-order sufficient optimality conditions, the existence of solutions for the linearized problem (LVI) is proven. In a second step, for a certain class of right-hand side perturbation, it is show that the controls from LVI have bang-singular-bang structure and, in L₁ topology, depend Lipschitz continuously on the data. Applying finally a common fixed-point approach to VI, the results are brought together to obtain existence and structural stability results for extremals of the original control problem under parameter perturbation.
Źródło:: Control and Cybernetics; 2013, 42, 3; 557-592
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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