Passivity analysis of integro-differential neural networks with time-varying delays

Improved Results on Passivity Analysis of Uncertain Neural Networks with Time-Varying Discrete and Distributed Delays

“…, k n }. Adding the left side of (16)(17)(18)(19), (24), (25) toV (t), and using (13)(14)(15), (20)(21)(22) and (23), then we havė (26) where (ḣ(t)) is defined in (7), ,M,N ,Ū ,V are defined in Theorem 1, and η…”

“…By using the assumption |ḣ(t)| ≤ µ and Lemma 2, it is known that there exist α 1 (t) ≥ 0 and α 2 (t) ≥ 0 satisfying α 1 (t) + α 2 (t) = 1, such thatḣ(t) = −α 1 (t)µ + α 2 (t)µ. Thus, (ḣ(t)) in (26) can be viewed as the convex combination of the matrices 1 and 2 , that is…”

“…The passivity framework is a promising approach to the stability analysis of delayed neural networks, because it can lead to general conclusions on stability. Recently, passivity analysis problem was widely investigated for continuous-time and discrete-time systems or neural networks with time-varying delays [23][24][25][26][27][28][29][30]. It is known that the passivity conditions proposed in [25,26] for continuous-time neural networks are delay-independent, which are recognized to be conservative, especially when the time delays are small.…”

“…Recently, passivity analysis problem was widely investigated for continuous-time and discrete-time systems or neural networks with time-varying delays [23][24][25][26][27][28][29][30]. It is known that the passivity conditions proposed in [25,26] for continuous-time neural networks are delay-independent, which are recognized to be conservative, especially when the time delays are small. The delay-dependent passivity conditions were proposed in [28][29][30] for uncertain continuous-time neural networks with time-varying delay.…”

Passivity analysis of complex dynamical networks with multiple time-varying delays

“…Therefore, passivity theory has received lots of attention. In recent years, many researchers have studied the passivity of fuzzy systems [35][36][37][38] and neural networks [39][40][41][42][43][44]. In [30], Zhao and Hill presented a concept of passivity for switched systems using multiple storage functions.…”