Exponential H ∞ synchronization of switching fuzzy systems with time-varying delay and impulses

This paper studies the problem of exponential H ∞ H ∞ synchronization of switching fuzzy systems with time-varying delay and impulses via maximum, minimum dwell time. The switching fuzzy model has locally Takagi and Sugeno (T-S) fuzzy models and switches them according to states, external variables and/or time. By introducing the concept of maximum, minimum dwell time and a modified two-side direction relation between the number of switchings and the maximum, minimum dwell time, a normal L 2 L 2 norm bound constraint is derived. By using the matrix decomposition method and reciprocal convex combination, and combining with the Wirtinger-based inequality, which gives a sharper upper bound than the Jensen's inequality, some new sufficient criteria are obtained to guarantee that the error system without impulses and with impulses is globally exponentially stable with an H ∞ H ∞ performance index γ , respectively. Three illustrative examples are provided to show the effectiveness of the results.