State feedback control on singular distributed parameter system with parabolic-elliptic type

We analyzed some singular distributed parameter system(SDPS) with boundary conditions in high dimension bounded domain with sufficiently smooth boundary. With the spectrum theory in PDE, the systems initially is formulated as an infinite-dimensional singular systems. The state space representation of the system is built according to matrices decomposition method. And the admissible property is discussed. By the singular system theory some novel uniform state feedback controller is designed.