Stability Analysis of Continuous Time T-S Fuzzy Systems Based on Lp Norms and Viewpoint of Firing Coefficients

In this paper some sufficient conditions on firing coefficients are extracted which can make the stability analysis of continuous time T-S fuzzy systems possible when there is no sufficient Lyapunov function. The presented approach utilizes the some aspects of linear switching systems with studying the time trajectory of states. The introduced method can be used for global or state dependent stability analysis of continuous time T-S fuzzy systems simultaneously, based on a general set of Lp norm Lyapunov functions. The obtained results are expandable to discrete time T-S systems

Keywords:

T-S fuzzy system , linear switched system , Lp norm , min-max optimization