CONSTRAINED APPROXIMATE BOUNDARY CONTROLLABILITY

In this paper,constrained approximate boundary controllability for lin ear distributed parameter dynamical systems described by partial diffe rential equations of parabolic-type with mixed boundary conditions is considered. Using methods of spectral analysis for linear selfadjoint operators and general constrained controllability results, given in [2 0], necessary and sufficient conditions for constrained approximate bo undary controllability are formulated and proved. Moreover, in illustr ative examples constrained approximate boundary controllability of one -dimensional distributed parameter dynamical systems is investigated. The constrained controllability conditions obtained in the paper repre sent an extension of the unconstrained controllability results given i n [7].