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

Membership‐function‐dependent approach to design filter for non‐linear systems with time‐varying delay via interval type‐2 fuzzy model

“…Then, pre-and post-multiply (9) by J 2 and its transpose J T 2 , and pre-and post-multiply (37) by J 1 and its transpose J T 1 , we can obtain the inequalities (30) and (31). Similarly, we can obtain (32) and (33).…”

“…An IT2 fuzzy controller is designed to cope with the problem of systems subject to pole constraint and control saturation in [30]. Based on Bessel–Legendre integral inequality, a new method of stability analysis and stabilisation is obtained for IT2 fuzzy delay plant in [31]. In [32] and [33], the problem of dynamic output feedback control for IT2 fuzzy systems is investigated.…”

Event-Based Dissipative Control of Interval Type-2 Fuzzy Markov Jump Systems Under Sensor Saturation and Actuator Nonlinearity

“…The authors in [14] have studied the admissibility analysis and stabilization problems for singular IT2 fuzzy delayed systems. Based on the Bessel-Legendre inequality, the problems of stability and stabilization for delayed IT2 fuzzy systems were investigated in [15]. The model reduction problem of discrete IT2 fuzzy systems with time-delay was addressed in [16].…”

Event-Triggered Mixed Non-Fragile and Measurement Quantization Filtering Design for Interval Type-2 Fuzzy Systems

“…Based on dissipativity performance of nonlinear discretetime systems, a novel reliable IT2 fuzzy filter was constructed in [9]; H ∞ norm and Hankel-norm model reduction problem for high-order IT2 fuzzy systems were addressed in [10], [11], respectively. A new triple-integral Lyapunov-Krasovskii functional was provided in [12], where sufficient condition of controller design was developed by secondorder Bessel-Legendre integral inequality. By employed input delay conversion method, H ∞ fuzzy networked sampled data control problem was solved in [13].…”