This paper deals with the pole placement of the singular system Ex=Ax（t）＋Dx（t-τ）＋Bu,y=yx,where x ∈ R^n, u ∈ R^m, and y ∈ R^n are its state, control input and measure output respectively; E, A ∈ R^n×n,...This paper deals with the pole placement of the singular system Ex=Ax（t）＋Dx（t-τ）＋Bu,y=yx,where x ∈ R^n, u ∈ R^m, and y ∈ R^n are its state, control input and measure output respectively; E, A ∈ R^n×n, B ∈ R^n×m, and C ∈ R^r×n are constant matrices. It is also assumed that rankE 〈 n. The results generalize the results of [1].展开更多
State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are change...State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are changed. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the pole assignment and stabilization of the singular distributed parameter systems.展开更多
基金the Nature Science Foundation of Education Commission of Anhui Province(2006KJ245B)the Natural Science Foundation of Anhui Province(070416225KJ2007A003)+1 种基金the Central Foundation of Ministry of Education(205068)Innovational Group of Anhui University
文摘This paper deals with the pole placement of the singular system Ex=Ax（t）＋Dx（t-τ）＋Bu,y=yx,where x ∈ R^n, u ∈ R^m, and y ∈ R^n are its state, control input and measure output respectively; E, A ∈ R^n×n, B ∈ R^n×m, and C ∈ R^r×n are constant matrices. It is also assumed that rankE 〈 n. The results generalize the results of [1].
基金supported by the National Nature Science Foundation of China under Grant No.60674018
文摘State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are changed. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the pole assignment and stabilization of the singular distributed parameter systems.
