Stability analysis and stabilisation of delayed IT2 fuzzy systems based on the Bessel–Legendre inequality

This study is concerned with the problems of asymptotic stability analysis and stabilisation for interval type-2 (IT2) fuzzy systems with time-varying delays. An augmented Lyapunov–Krasovskii functional including triple-integral terms is constructed. By the second-order Bessel–Legendre integral inequality and the reciprocally convex combination, a good estimation of the derivative for the Lyapunov–Krasovskii functional can be derived. Thus,...