  This paper addresses the stability problem for discrete-time switched systems
under autonomous switching. Each mode of the switched system is modeled as a
Linear Parameter Varying (LPV) system, the time-varying parameters can vary
arbitrarily fast and are represented in a polytopic form. The Lyapunov theory
is employed to get new conditions in the form of parameter-dependent LMIs. The
constructed Lyapunov function takes advantage of using an augmented state
vector with shifted states in its construction. In this sense, the Lyapunov
function employed in this paper can be viewed as a discrete-time LPV switched
Lyapunov function. Numerical experiments illustrate the efficacy of the
technique in providing stability certificates.
