optimal boundary control for infinite variables parabolic systems with time lags given in integral form

Optimal boundary control for infinite variables parabolic systems with time lags given in integral form

In this paper, the optimal boundary control problem for distributed parabolic systems, involving second order operator with an infinite number of variables, in which constant lags appear in the integral form both in the state equations and in the boundary condition is considered. Some specific properties of the optimal control are discussed.

Time–optimal Boundary Control of a Parabolic System with Time Lags given in Integral Form

Various optimization problems associated with the optimal control of distributed parabolic systems with time delays appearing in boundary conditions were studied recently by Wang (1975), Knowles (1978), Kowalewski (1988; 1990a;1990b; 1998; 1999; 2001), Kowalewski and Duda (1992) and Kowalewski and Krakowiak (2000). In (Wang, 1975), optimal control problems for parabolic systems with Neumann bou...

Time-Optimal Boundary Control of an Infinite Order Parabolic System with Time Lags

In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.

Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form

VARIATIONAL DISCRETIZATION AND MIXED METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH INTEGRAL CONSTRAINT

The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L2 are established for the state...

Boundary Control of Parabolic-hyperbolic Systems with Time Delays

Keywords: boundary control, parabolic-hyperbolic system, integral time delays, Neumann problem, quadratic programming method, Hilbert space In this paper, we consider optimal boundary control problems for parabolic-hyperbolic systems in which time delays appear in the integral form in the state equations. The right-hand side of the state equation and the initial and boundary conditions are not ...