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The optimal distributed control problem for age-dependent population diffusion system governed by integral partial differential equations is discussed. The existence and uniqueness of the optimal distributed control is proved. The necessary and sufficient condition for a control to be optimal is obtained; and then the optimality system consisting of integral partial differential equations and variational...
In this paper, we are concerned with a flexible robot arm formulated by partial differential equations with initial and boundary conditions. An optimal energy control of the robot system is investigated after the system has been transformed to an abstract evolution system in an appropriate Hilbert space. The existence and uniqueness of the optimal energy control are discussed and proved, and an approximation...
In many problems governed by partial differential equations, there is freedom in the choice of actuator (and sensor) location. These locations should be chosen to optimize performance objectives. In practice, approximations are used in controller design and thus in selection of the actuator locations. The optimal cost and location of the approximating sequence should converge to the exact optimal...
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