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Sufficient conditions for robust stability of large-scale dynamical systems including delayed states and parameter perturbations in interconnections

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Abstract

The problem of the robust stability of large-scale dynamical systems including delayed states and parameter perturbations in interconnections is considered. By using algebraic Riccati equations and some analytical methods, some sufficient conditions on linear decentralized state feedback controllers are derived so that the systems remain stable in the presence of delayed states and parameter perturbations. Such conditions give some bounds on the perturbations of interconnections with delayed states and uncertain parameters, and result in a quantitative measures of robustness for large-scale dynamical systems including delayed states and uncertain parameters in interconnections. The results obtained in this paper are applicable not only to large-scale systems with multiple time-varying delays, but also to large-scale systems without exact knowledge of the delays, i.e., large-scale systems with uncertain delays.

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Authors and Affiliations

  1. Division of Mathematical and Information Sciences, Faculty of Intergrated Arts and Sciences, Hiroshima University, Kagamiyama, Higashi-Hiroshima City, Japan

    K. Mizukami (Professor) & H. S. Wu (Associate Professor)

  2. Graduate School of Engineering, Hiroshima University, Kagamiyama, Higashi-Hiroshima City, Japan

    S. Y. Zhang (Graduate Student)

Authors
  1. K. Mizukami
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  2. S. Y. Zhang
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  3. H. S. Wu
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Communicated by G. Leitmann

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Mizukami, K., Zhang, S.Y. & Wu, H.S. Sufficient conditions for robust stability of large-scale dynamical systems including delayed states and parameter perturbations in interconnections. J Optim Theory Appl 85, 727–739 (1995). https://doi.org/10.1007/BF02193064

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