New Versions of Bounded Real Lemmas for Continuous and Discrete Uncertain Systems

New bounded real lemmas for linear systems with parameter uncertainties belonging to a convex bounded-polyhedral domain are established in this paper. Both continuous- and discrete-time uncertain systems are investigated. The derived conditions are expressed in terms of a set of linear matrix inequalities defined at the vertices of the uncertainty polytope. Numerical comparisons with those appearing recently in the literature show that the proposed conditions provide less conservative results.

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