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Exponential Asymptotic Stability of a Two-Unit Standby Redundant Electronic Equipment System under Human Failure

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

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Abstract

In this paper, we deal with the exponential asymptotic stability of a two-unit standby redundant electronic equipment system under human failure. First we prove that the positive contraction c 0-semigroup {T(t)} t ≥ 0 which is generated by the operator corresponding to these equations is a quasi-compact operator. Then by using that 0 is an eigenvalue of the operator with algebraic index one and the c 0-semigroup {T(t)} t ≥ 0 is contraction, we deduce that the spectral bound of the operator is zero. By using the above results we obtain easily the exponential asymptotic stability of the solution of the redundant system.

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Authors and Affiliations

  1. Department of Math., Daqing Normal University, Daqing, 163712, China

    Xing Qiao, Zhaoxing Li & Dan Ma

  2. Beijing Institute of Information and Control, Beijing, 100037, China

    Xing Qiao

Authors
  1. Xing Qiao
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  2. Zhaoxing Li
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  3. Dan Ma
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Qiao, X., Li, Z., Ma, D. (2009). Exponential Asymptotic Stability of a Two-Unit Standby Redundant Electronic Equipment System under Human Failure. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_29

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  • DOI: https://doi.org/10.1007/978-3-642-01507-6_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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