Simple condition for stability of systems interconnected over networks

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.

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