Research Output
Stability of Non-Negative Lur'e Systems
  A stability/instability trichotomy for a class of nonnegative continuous-time Lur'e systems is derived. Asymptotic, exponential, and input-to-state stability concepts are considered. The presented trichotomy rests on Perron–Frobenius theory, absolute stability theory, and recent input-to-state stability results for Lur'e systems. Applications of the results derived arise in various fields, including density-dependent population dynamics, and two examples are discussed in detail.

  • Type:

    Article

  • Date:

    12 May 2016

  • Publication Status:

    Published

  • Publisher

    Society for Industrial and Applied Mathematics Publications

  • DOI:

    10.1137/140994599

  • ISSN:

    0363-0129

  • Funders:

    Engineering and Physical Sciences Research Council

Citation

Bill, A., Guiver, C., Logemann, H., & Townley, S. (2016). Stability of Non-Negative Lur'e Systems. SIAM Journal on Control and Optimization, 54(3), 1176-1211. https://doi.org/10.1137/140994599

Authors

Keywords

absolute stability, input-to-state-stability, Lur'e system, multiple equilibria, population modeling, positive systems

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