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This paper provides novel sufficient conditions on robust asymptotic stability and stabilization for a class of uncertain discrete-time switched fuzzy with time-varying delays. The attention is focused on developing new algebraic criteria to break with classical criteria in terms of Linear Matrix Inequalities (LMIs). Firstly, based on the M-matrix proprieties and through l1,∞ induced norms notion,...
This paper studies the problem of asymptotic stability for discrete-time switched T-S fuzzy systems with multiple delays. A novel algebraic criterion is proposed for the delay-independent asymptotic stability of the system, based on semipositivity and M-matrix properties. The major benefit of this technique is that it avoids the problem of computations complexity over LMIs constraints. Two numerical...
In this work, delay-independent stability conditions for discrete-time switched fuzzy TS time-delay systems described by delayed difference equations are presented. Vectorial norm approach and M-matrix properties are utilized for the stability analysis. The main benefit of this technique is that it avoids the problem of existence of Lyapunov functions. A numerical example is given to demonstrate the...
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