Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: existence and uniqueness of solutions

Sortuj według:

Ogranicz wyniki do:

Sterowanie optymalne systemami o parametrach rozłożonych z opóźnieniami

Kowalewski A.

Pomiary Automatyka Robotyka

2011

R. 15, nr 12

57-59

W artykule dokonano przeglądu problematyki sterowania optymalnego systemami o parametrach rozłożonych z opóźnieniami w warunkach brzegowych. Zaprezentowano podstawowe zagadnienia dotyczące systemów o parametrach rozłożonych takie jak: istnienie i jednoznaczność rozwiązań, sterowanie optymalne rozłożone i brzegowe, sterowanie optymalne ze sprzężeniem zwrotnym, sterowanie czasowo-optymalne, sterowalność oraz modele matematyczne systemów o parametrach rozłożonych.

In this article the review of optimal control problems for distributed parameter systems with boundary conditions involving time delays is performed. The principal problems, namely: existence and uniqueness of solutions, distributed and boundary optimal control, optimal feedback control, controllability and mathematical models of distributed parameter systems are presented.

Optimal control problem for infinite variables hyperbolic systems with time lags

Bahaa G. M., Tharwat M. M.

Archives of Control Sciences

2011

Vol. 21, no. 4

373-393

In this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (n x n)-infinite variables hyperbolic systems.

On diffused-interface models of shape memory alloys

Pawłow I., Zajączkowski W. M.

Control and Cybernetics

2003

Vol. 32, no 3

629-658

The paper surveys mathematical models of thermo-mechanical evolution of shape memory alloys and related mathematical results. The survey is confined to so-called diffused-interface or phase-field models based on Landau-Ginzburg free energy as a ther-modynamic potential. It includes the well-known models due to Falk, Fremond and Fried-Gurtin. The focus is on a three-dimensional (3-D) generalization of Falk's model based on the linearized strain tensor, absolute temperature and strain tensor gradient. For such model the thermodynamical basis and the recent mathematical results on its well-posedness are presented.