  Stability analysis of discrete-time switched systems under minimum dwell-time
is studied using a new type of LMI conditions. These conditions are convex in
the matrices of the system and shown to be equivalent to the nonconvex
conditions proposed by Geromel and Colaneri. The convexification of the
conditions is performed by a lifting process which introduces a moderate number
of additional decision variables. The convexity of the conditions can be
exploited to extend the results to uncertain systems, control design and
$\ell_2$-gain computation without introducing additional conservatism. Several
examples are presented to show the effectiveness of the approach.
