Volochshuk S. Mathematical modeling of the linear systems with incompletely definite initial-boundary conditions

In the thesis initial-boundary tasks, management and observation problems put for the linear systems with invariable coefficients are considered. A particular case is studied, when the dynamics or statics of the systems is described by an equation and the initial-boundary state of the system is known incompletely. The effect of influencing of the known initial-boundary conditions on the state of the system is offered to be replaced by fictitious external-dynamic perturbation. Through right part of equation this perturbation will design influencing of initial-boundary conditions and will provide their root-mean-square implementation. It was proved the sufficient conditions of existence of these perturbations and it was grounded iterative procedure of minimization of the total root-mean-square error of known initial-boundary conditions.