Search

Abstract: In this paper, the optimal boundary control problem for (n × n) infinite order distributed parabolic systems, with boundary conditions involving multiple time-varying lags is considered. Constraints on controls are imposed. Necessary and sufficient optimality conditions for the Neumann problem with the quadratic performance functional are derived. [Copyright &y& Elsevier]

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 (nxn)-infinite variables hyperbolic systems. [ABSTRACT FROM AUTHOR]

Because of amazing advantages of meshless numerical methods over classical finite difference methods and finite element methods, the point allocation method and its characteristics are introduced. Several techniques for derivative boundary conditions by meshless allocation method are summarized and a new technique based on integral interpolation is proposed. Using meshless allocation method based on point interpolation to solve Helmholtz problem, the superiority of the proposed technique is verified. [ABSTRACT FROM AUTHOR]