Pole assignment for a singular distributed parameter system coupled with a singular lumped parameter system}{Pole assignment for a singular distributed parameter system coupled with a singular lumped parameter system

The pole assignment for a first order singular distributed parameter control system coupled with a first order singular lumped parameter control system is discussed via functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expressions of the solutions are given by the bounded inner inverse of the bounded linear operator. This research is theoretically important for studying the pole assignment and stabilizability of singular distributed parameter control systems.