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On the stability of open population large scale system

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Control Theory of Distributed Parameter Systems and Applications

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 159))

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Abstract

In this Paper, We will discuss the Lyapunov's stability of open population large scale system, obtain the time-varying lower critical value and the time-varying upper critical value of absolute birth-rate, and give the sufficient conditions for the large scale system to be stable and asymptotically stable, mearwhile give the necessary condition for the large scale system to be stable. These results may provide a strict mathematics theory for population control.

The Project Supported by National Natural Science Foundation of China

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Authors and Affiliations

  1. Department of Mathematics, Northeast Normal University, 130024, Changchun, Jilin, China

    Hang Gao

Authors
  1. Hang Gao
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Editor information

Xunjing Li Jiongmin Yong

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© 1991 International Federation for Information Processing

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Gao, H. (1991). On the stability of open population large scale system. In: Li, X., Yong, J. (eds) Control Theory of Distributed Parameter Systems and Applications. Lecture Notes in Control and Information Sciences, vol 159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004437

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  • DOI: https://doi.org/10.1007/BFb0004437

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53894-3

  • Online ISBN: 978-3-540-46372-6

  • eBook Packages: Springer Book Archive

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