Dissipativity and passivity analysis for neutral type neural networks
Stability analysis of neural networks and systems with time delay in leakage (or “forgetting”) term and the delay decomposition approach was successfully introduced in [130] for the neural networks with constant delay.
Abstract
Neutral type phenomenon always appears in the study of automatic control, population dynamics and vibrating masses attached to an elastic bar, etc. Hence, dynamical behaviour for robust neutral type neural networks and systems with time-varying delay have been considered in the recent years [61, 70]. On the other hand, so far, very little attention has been paid to stability analysis of neural networks and systems with time delay in leakage (or “forgetting”) term [52, 54]. In [54] the effect of leakage time-varying delay on stability of nonlinear differential systems has been investigated and several sufficient conditions are obtained for the existence, uniqueness and global asymptotic stability of the equilibrium point by using fixed point theorems. Based on this, the effects of leakage time-varying delays in Markovian jump neural networks with impulse control have been analyzed in [52]. Recently, in order to obtain the less conservative results, the delay decomposition approach was successfully introduced in [130] for the neural networks with constant delay. Followed this, in [19], the problem of stability analysis for neural networks with time-varying delay has been discussed via delay decomposition approach. In [7], a delay