Temat: extremals - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A simple trolley-like model in the presence of a nonlinear friction and a bounded fuel expenditure
Autorzy:: Dmitruk, Andrei
Samylovskiy, Ivan
Powiązania:: https://bibliotekanauki.pl/articles/729308.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: optimal control problem
Pontryagin Maximum Principle
extremals
singular arcs
Opis:: We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle we obtain the form of optimal control and establish conditions under which it contains a singular subarc. This problem seems to be the simplest one having a mechanical sense in which singular subarcs appear in a nontrivial way.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 2; 135-147
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

Tytuł:: Theconjugate points sufficient conditions for an optimal control
Autorzy:: Szymanowska, A.
Powiązania:: https://bibliotekanauki.pl/articles/206818.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: pola ekstremali
problem Bolza
sterowanie optymalne
warunek wystarczający
field of extremals
generalized problem of Bolza
sufficient conditions
Opis:: The paper concerns an application of the idea of field theory and the concept of "concourse of flights" to the sufficient optimality conditions for the optimal control problems stated in terms of focal and conjugate points. The concept of concourse of flights was begun by Young (1969), and later extended by Nowakowski (1988). In the paper the definition of a focal and conjugate point of a field of extremals is given. Using these concepts, we prove that the existence of a field of extremals without conjugate points implies the existence of concourse of flights and consequently we obtain the second order sufficient conditions for the generalized problem of Bolza. Another approach to the concept of focal and conjugate points is given by Zeidan (1983, 1984).
Źródło:: Control and Cybernetics; 1998, 27, 3; 353-362
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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