This paper is devoted to investigate the accuracy of the Pseudo spectral scheme with the Chebyshev tau method and Chebyshev collocation method. The computational results of the nonlinear disturbance development in p...This paper is devoted to investigate the accuracy of the Pseudo spectral scheme with the Chebyshev tau method and Chebyshev collocation method. The computational results of the nonlinear disturbance development in plane Poiseuille flow for both methods are presented and compared in detail. It is acknowledged that the Chebyshev collocation method has higher precision than the other one, especially for near netural situation.展开更多
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
文摘This paper is devoted to investigate the accuracy of the Pseudo spectral scheme with the Chebyshev tau method and Chebyshev collocation method. The computational results of the nonlinear disturbance development in plane Poiseuille flow for both methods are presented and compared in detail. It is acknowledged that the Chebyshev collocation method has higher precision than the other one, especially for near netural situation.
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].
