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National Repository of Grey Literature

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	Optimal control in engineering processes Jakal, Martin ; Štoudková Růžičková, Viera (referee) ; Tomášek, Petr (advisor) This thesis deals with electric train optimal control problem with a focus on time and energy optimization. The problem is extended by considering specific speed contraints. We are able to design the sequence of control settings by the use of the optimal control theory. Optimization tools in Matlab environment are used to determine the numerical solution of the considered task. Detailed record
	Optimal control in engineering processes Jakal, Martin ; Štoudková Růžičková, Viera (referee) ; Tomášek, Petr (advisor) This thesis deals with electric train optimal control problem with a focus on time and energy optimization. The problem is extended by considering specific speed contraints. We are able to design the sequence of control settings by the use of the optimal control theory. Optimization tools in Matlab environment are used to determine the numerical solution of the considered task. Detailed record
	Maximum principles for elliptic systems of partial differential equations Bílý, Michael ; Bulíček, Miroslav (advisor) ; Kaplický, Petr (referee) We consider nonlinear elliptic Bellman systems which arise in the theory of stochastic differential games. The right hand sides of the equations (which are called Hamiltonians) may have quadratic growth with respect to the gradient of the unknowns. Under certain assumptions on Lagrangians (from which the Hamiltonians are derived), that are satisfied for many types of stochastic games, we establish the existence and uniqueness of a Nash point and develop structural conditions on the Hamiltonians. From these conditions we establish a certain version of maximum and minimum principle. This result is then used to establish the existence of a bound solution. 1 Detailed record

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