Feedback control and pole assignment for first order coupled generalized systems in Hilbert space

Feedback control and Pole assignment for the first order generalized distributed parameter system coupled with the generalized lumped parameter system is discussed via functional analysis and operator theory in Hilbert space.The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator.This research is theoretically important for studying the stabilization and asymptotic stability of the coupled generalized control systems.