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Robust Stability and H∞ Analysis for Interconnected Uncertain Systems

A. Zouhri, M. Benyakhlef, S. Kririm, I. Boumhidi


In this paper, we present a new robust stability and H∞ analysis of interconnected uncertain systems. The analysis conditions are obtained from the Finsler’s Lemma combined with the Lyapunov theory and expressed in terms of linear matrix inequalities, where the interconnected uncertain system is asymptotically stable in H∞ norm. The proposed approach also provides some improvements when compared with other recent approach from the literature in the context of interconnected uncertain systems. A practice example is given in order to show the efficiency of the obtained result.


Interconnected systems; robust stability; H∞ analysis; uncertain systems; linear matrix inequality (LMI)

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