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This paper introduces a model for the dynamics of a sorption process from the industrial water supply and sewage treatment industries that is a continuous version of the Roesser state-space model for 2D discrete systems. Conditions for unique solvability and the representation formula are then developed together with the solution of an optimization problem using boundary control. The solution of this...
This paper investigates the discrete simulation of the solution of initial-boundary-value problems that typically arise in technical areas. Since many of them lead to unbounded and non-self-adjoint differential operators, we have to use a rather general theory as a mathematical basis. For the class of sectorial operators with a compact resolvent operator, the solution of initial-boundary-value problem...
This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form...
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