Feedback and pole assignment of the second order singular distributed parameter control systems

• Autorzy: Ge Z. , Zhang B.
• Języki publikacji: EN

Abstrakty

EN

Pole assignment for infinite many poles of the second order singular distributed parameter control system was discussed via functional analysis and operator theory in Hubert 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 second order singular distributed parameter control system.

Słowa kluczowe

EN

feedback control; poles and zeros; mathematical operators; asymptotic stability; eigenvalues and eigenfunctions; set theory; temperature distribution; thermal conductivity; electric potential; superconducting devices; signal processing; electric cables

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2003
• Tom: Vol. 29, nr 4
• Strony: 19--27
• Opis fizyczny: Bibliogr. 8 poz.,

Twórcy

autor

Ge Z.

• Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China

autor

Zhang B.

• Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China

Bibliografia

• [1] Joder L, FemandezM. L., An implicit difference method for the numerical solution of coupled system of partial differential equations, Appl. Math. Comput., 46(2), 1991, 127-134.
• [2] Lewis F. L.,A review of 2-D implicit systems, Automatica, 28(2), 1992, 345-354.
• [3] Trzaska Z., Marszalek W., Singular distributed parameter systems, IEE Control Theory and Ap-plications, 40(5), 1993, 305-308.
• [4] Ge Ziiaoqiang, Zhu Guangtian, Ma Yonghao, Pole assignment for the first order coupled gener-alized control system. Control Theory and Application, 17(3), 2000, 379-383.
• [5] Ge Ziiaoqiang, Ma Yonghao, Pole assignment of the coupled generalized system, Systems Science, 26(3), 2000, 5-14.
• [6] Ge Zhaoqiang, Ma Yonghao, Pole assignment of the first order generalized distributed parameter system. Chinese Annals of Mathematics, 22A(6), 2001, 729-734.
• [7] Wang K., On the pole assignment for the distributed parameter system, Science in China, 1982, 12: 2, 172-184.
• [8] Ge. Zhaoqiang, Inverse Problem of Operators and its Applications [M], Xi'an: Shaanxi Scientific and Technological Press, 1993.