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Tematyka rozprawy dotyczy możliwości wykorzystania teorii gier liniowo-kwadratowych w problemach sterowania. Szczególny nacisk położono na metody numeryczne, które mogą być wykorzystywane przy poszukiwaniu równowagi Nasha. Oprócz zebrania i analizy istniejących już metod zaproponowano nowe podejście poprzez poszerzany horyzont. Rozprawa zawiera również szereg przykładów zastosowań teorii gier liniowo-kwadratowych w dziedzinach takich jak elektrotechnika, ekonomia czy ekologia.

Computer-aided design of control systems using game theory

The subject of the thesis are possibilities of using linear- quadratic game theory in control problems. The most emphasized part are numerical methods which can be used to calculate Nash equilibrium in this type of games. Besides gathering and analysis of existing methods, a new approach via moving horizon has been introduced. The thesis also includes several examples in areas like electrotechnics, economy and ecology.

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