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Generalized transfer function of control system and an improvement on the decision method of movement stability

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Abstract

In this paper the definitions of generalized transfer function of control system and its continuity are presented. Using generalized transfer function as a tool, a set of theorems for deciding movement stability have been constructed. Thus basing our understanding of the characteristics of a control dynamics system on its measured procedure will simplify the decision method of movement stability problems

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References

  1. Xu Song-qing,Stability Theory of Ordinary Differential Equation, Shanghai Science and Technology Press (1962) (in Chinese).

  2. Ogata, Katsuhiko,Modem Control Engineering, Prentice-Hall (1970) (in Japanese).

  3. Lavrentev, M.A. and B.A. Shabat,Method of the Theory of Function of Complex Variable, National Technology and Theory Book Press, Moscow (1951) (in Russian).

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Communicated by Chien Wei-zang

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Shou-zhen, Y., Wan-qian, S. Generalized transfer function of control system and an improvement on the decision method of movement stability. Appl Math Mech 10, 361–371 (1989). https://doi.org/10.1007/BF02017777

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  • DOI: https://doi.org/10.1007/BF02017777

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