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The criterions for absolute stability of direct control systems of lurie type

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Abstract

In this paper, we give necessary and sufficient conditions for absolute stability of several classes of direct control systems, and discuss the absolute stability of the first canonical form of control system. The corresponding results in references [3,5,6] and [7] are improved.

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References

  1. Letov, A.M.,The Stability of Nonlinear Control System (1959). (in Russian)

  2. Xie Hui-min,The Theory and Application of Absolute Stability, Science Press (1986). (in Chinese)

  3. Liao Xiao-xin. On the criterion for the absolute stability of the control system,Applied Mathematics and Mechanics.3, 2 (1982), 267–280.

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  5. Zhao Su-xia, On the absolute stability of direct control system.Acta mathematica Sinica.22, 4 (1979). (in Chinese)

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Authors and Affiliations

  1. Department of Mathematics, Central China Normal University, Wuhan

    Zhang Wei

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  1. Zhang Wei
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Communicated by Chou Huan-wen

This paper is completed under the direct guidance and encouragement of professor Liao Xiaoxin and professor Deng Zhong-qi. The writer especially acknowledges their help.

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Wei, Z. The criterions for absolute stability of direct control systems of lurie type. Appl Math Mech 10, 955–967 (1989). https://doi.org/10.1007/BF02017521

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  • DOI: https://doi.org/10.1007/BF02017521

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