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广义线性系统渐近稳定性的几个充要条件 被引量:3

SUFFICIENT AND NECESSARY CONDITIONS OF ASYMPTOTICALSTABILITY OF SINGULAR LINEAR SYSTEMS
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摘要 在对广义线性系统正则性、吸引性和无脉冲性研究的基础上,提出广义线性系统平衡态渐近稳定的几个充分必要条件,给出了根据等价系统和等价变换判别广义线性系统渐近稳定性的几个准则,并用具体例子说明了这些准则的应用. n this paper, some necessary and sufficient conditions of asymptotical stability of linear singular systems are presented, and some asymptotical stability criterions are given according to the equivalent systems and the equivalent transforms, and the regularity, attractivity and free_impulse of linear singular systems are considered. An illustrative example is given to show the application of these criterions.
出处 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 1998年第3期1-6,共6页 Journal of South China University of Technology(Natural Science Edition)
基金 广东省自然科学基金
关键词 广义系统 线性系统 渐近稳定性 正则性 ingular system linear system asymptotical stability regularity impulse attractivity
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参考文献3

  • 1陈潮填,Proceedings of the 1997 IEEE International Conference on Inteligent Processing Systems,1997年,635页
  • 2Fang C H,Syst Control Lett,1993年,21卷,2期,109页
  • 3戴立意,应用数学学报,1987年,8卷,2期,122页

同被引文献12

  • 1Michel A N, Miller R K. Qualitative Analysis of Large - scale Dynamical Systems [M]. New York: Academic Press, 1977.
  • 2Siljak D D. Large- scale Dynamical Systems: Stability and Structure [M]. New York: North-Holland, 1978.
  • 3Jamshidi M. Large - scale Dynamical Systems: Modeling and Control [M]. New York: North-Holland, 1983.
  • 4Rosenbrock H H. Structural Properties of Linear Dynamical Systems [J]. Int J Control, 1974, 20 (2): 191 - 202.
  • 5Chen Chao- Tian, Liu Yong - Qing. Stability of Large - scale Linear Singular Dynamical Systems and its Interconnecting Parameters Regions [J]. Journal of South University Technoloty (Natural Science), 1996, 24 (5) : 51 - 56.
  • 6Gang Feng.Stability Analysis of piecewise discrete-time linear systems [J].IEEE Trans Auto,2002,47(7):1 108-1 112.
  • 7Nian Xiaohong,Li Renfa.Robust stability of uncertain largescale systems with time delay [J ].International Journal of Systems Science,2001,32(4):541-544.
  • 8Siljak D D.Large-scale dynamic systems stability and structure [M].New York:Elsevier North-Holland,1978.
  • 9陈潮填.大系统的部分联结稳定性[J].广东民族学院学报,1998(4):1-8. 被引量:9
  • 10梁家荣,樊晓平.不确定广义系统的鲁棒稳定性[J].系统工程,2002,20(4):7-11. 被引量:4

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