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Stability of constant coefficient linear singular systems with delay

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Abstract

In this paper, the general class of singular systems with delay and linear constant coefficient singular systems with delay are discussed. First, several definitions of stability are presented for singular systems with delay, and general sufficient stability conditions and instability conditions are obtained. Second, stability and instability are analyzed for linear constant coefficient singular systems with delay.

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References

  1. V. B. Bajić and M. M. Milić, Theorems on the bounds of solutions of semi-state systems,Internat. J. Control, 43(3), 859–867, 1986.

    Google Scholar 

  2. V. B. Bajić and M. M. Milić, Extended stability of motion of semi-state systems,Internat. J. Control, 46(6), 2183–2197, 1987.

    Google Scholar 

  3. S. L. Campbell,Singular Systems of Differential Equations, Pitman Advanced Publishing Program, New York, 1980.

    Google Scholar 

  4. W. Gaoxong and Z. Zhiming, et al.,Ordinary Differential Equations, Advanced Education Publisher, China, p. 288, 1988.

    Google Scholar 

  5. C. Gongning,Matrix Theory and Its Applications, Advanced Education Publisher, Beijing, China, p. 226, 1990.

    Google Scholar 

  6. J. K. Hale and S. M. V. Lunel,Introduction to Functional Differential Equations, Springer-Verlag, Berlin and New York, p. 140, 1993.

    Google Scholar 

  7. Y. Li and Y. Liu, Basic theory of singular systems of linear differential difference equations,Proc. 13th IFAC World Congress, San Francisco, L. pp. 79–84, 1996.

  8. M. M. Milić and V. B. Bajić, Stability analysis of singular Systems,Circuits Systems Signal Process, 8(3), 267–287, 1989.

    Google Scholar 

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Authors and Affiliations

  1. Automatic Control Engineering Department, South China University of Technology, 510641, Guangzhou, China

    Yuanqing Li & Yongqing Liu

  2. Department of Mathematics, South China Normal University, 510631, Guangzhou, China

    Weizheng Feng

Authors
  1. Yuanqing Li
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  2. Weizheng Feng
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  3. Yongqing Liu
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Additional information

This project was supported by the Guangdong Provincial Natural Science Foundation of China, No. 990584.

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Li, Y., Feng, W. & Liu, Y. Stability of constant coefficient linear singular systems with delay. Circuits Systems and Signal Process 19, 13–25 (2000). https://doi.org/10.1007/BF01229989

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  • DOI: https://doi.org/10.1007/BF01229989

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