Spectrum Distribution of the Second Order Generalized Distributed Parameter Systems

GE Zhao-qiang; ZHU Guang-tian; MA Yong-hao

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(10): 1083-1089

GE Zhao-qiang, ZHU Guang-tian, MA Yong-hao. Spectrum Distribution of the Second Order Generalized Distributed Parameter Systems[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1083-1089.

Citation:

GE Zhao-qiang, ZHU Guang-tian, MA Yong-hao. Spectrum Distribution of the Second Order Generalized Distributed Parameter Systems[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1083-1089.

Citation:

GE Zhao-qiang, ZHU Guang-tian, MA Yong-hao. Spectrum Distribution of the Second Order Generalized Distributed Parameter Systems[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1083-1089.

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Spectrum Distribution of the Second Order Generalized Distributed Parameter Systems

1.
Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, P.R.China;
2.
Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, P.R.China;
3.
Department of Mathematics, Southwest Texas State University, Texas 78666, USA

Received Date: 2001-11-13
Rev Recd Date: 2003-05-09
Publish Date: 2003-10-15

Abstract

Abstract

Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert 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 is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system.

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References(12)

References

[1]	Jóder L,Femandez M L.An implicit difference method for the numerical solution of coupled system of partial differential equations[J]. Appl Math Comput, 1991,46(2): 127-134.
[2]	Lewis F L.A review of 2-D implicit systems[J].Automatica,1992,28(2):345-354.
[3]	Trzaska Z,Marszalek W. Singular distributed parameter systems[J]. IEE Control Theory and Applications, 1993,40 (5): 305-308.
[4]	GE Zhao-qiang. The stabilizability for a class of generalized system[J]. Applied FunctionalAnalysis, 1993,1(1) :56-61.
[5]	岳东,刘永清.广义分布参数系统的变结构控制[J].控制与决策,1996,11(2):278-283.
[6]	高为炳.变结构控制的理论与设计方法[M].北京:科学出版社,1996.
[7]	杨建辉,刘永清.广义分布参数扰动系统滑动模态控制[J].控制与决策,2000,15(2):14.
[8]	GE Zhao-qiang,ZHU Guang-tian,MA Yong-hao. Pole assignment for the first order coupled generalized control system[J] Control Theory and Applications,2000,17(3) :379-383.
[9]	GE Zhao-qiang, MA Yong-hao. Pole assignment of the coupled generalized system[J]. Systems Science,2000,26(3) :5-14.
[10]	葛照强.算子逆问题及其应用[M].西安:陕西科学技术出版社,1993.
[11]	GE Zhao-qiang. On the pole assignment for the generalized system[A]. In: Uchida K Ed. Proceedings of the First Asian Control Conference [C]. Vol 3. Tokyo: Waseda University, 1994,33-35.
[12]	王康宁,吕涛,邹振宇.分布参数控制系统的极点配置问题[J].中国科学,1982,12(2):172-184.