Copyright © 2010 Jun Li et al. This is an open access article distributed under the
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This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear
systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting
matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically
stability of these systems. Simultaneously, arbitrary switched linear system can be expressed as a problem of
uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner
system. Two examples illustrate the exactness of the proposed criterions.