Simple condition for stability of systems interconnected over networks

  • Authors:

  • Ather Gattami;Richard M. Murray

  • Affiliations:

  • Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, 77 Massachusetts Avenue Cambridge, MA 02139, USA.;Control and Dynamical Systems, California Institute of Technology, Pasadena, CA 91125, USA

  • Venue:
  • International Journal of Systems, Control and Communications
  • Year:
  • 2010

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Abstract

In this paper, analysis of dynamical systems interconnected over networks is considered. A framework for the analysis of the stability of interconnection is given. Previous results that studies the single-input/single-output case for a constant interconnection matrix are generalised to the multi-input/multi-output case where arbitrary dynamic interconnection is allowed. The analysis shows existence of a separation principle that is very useful in the sense of the simplicity for stability analysis. Stability can be checked graphically using a Nyquist-like criterion. The problem with time-delays and interconnection variation and robustness appear to be natural special cases.