An extension of the invariance principle for switched T-S fuzzy systems

In this work, we propose an extension of the\ud invariance principle for switched T-S fuzzy systems using\ud an auxiliary function V for the convex combination of the\ud subsystems which applies to unstable subsystems. The results\ud are given in terms of LMIs. Numerical examples illustrate the\ud effectiveness of the proposed design methods.CNPq Proc 142246/2010-7, 150838/2012-3 e 304985/2009-

An extension of the invariance principle for dwell-time switched nonlinear systems

In this paper, we propose an extension of the invariance principle for nonlinear switched systems under dwell-time switched solutions. This extension allows the derivative of an auxiliary function V, also called a Lyapunov-like function, along the solutions of the switched system to be positive on some sets. The results of this paper are useful to estimate attractors of nonlinear switched systems and corresponding basins of attraction. Uniform estimates of attractors and basin of attractions with respect to time-invariant uncertain parameters are also obtained. Results for a common Lyapunov-like function and multiple Lyapunov-like functions are given. Illustrative examples show the potential of the theoretical results in providing information on the asymptotic behavior of nonlinear dynamical switched systems. (C) 2012 Elsevier B.V. All rights reserved.Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq