An LMI approach to /spl Lscr/;/sub 2/ gain analysis of uncertain switched systems

This paper investigates the /spl Lscr/;/sub 2/ gain analysis of uncertain discrete-time switched systems under arbitrary switching by linear matrix inequality (LMI) approach together with switched Lyapunov function (SLF) method. The /spl Lscr/;/sub 2/ gain analysis is to characterize conditions under which an uncertain switched system is uniformly quadratically stable (UQS) with an /spl Lscr/;/sub 2/ gain smaller than a constant /spl gamma/ for all admissible uncertainties. All results in this paper are expressed in terms of LMIs, which can be easily tested with efficient LMI algorithms.

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