Our main objective of this paper is to study the delay-dependent exponential stability problem for a class of Markovian jumping uncertain BAM neural networks with mixed time delays, leakage delays, and α-inverse Holder activation functions under stochastic noise perturbation.
Hypoxic damage to vascular endothelium and delayed leakage of blood may be the reason for this phenomenon.
Further, Zhao et al. [13] deal with the passivity problem for a class of stochastic neural networks with time-varying delays and leakage delay as well as generalized activation functions by the free-weighting method and stochastic analysis technique.
Huang [41] considered the exponential stability of delayed neural networks, but he also did not consider the effect of proportional delays and leakage delays.
In this article, a kind of fuzzy cellular neural networks (FCNNs) with proportional delays and leakage delays are involved.
Therefore we think that it is meaningful to analyze the global exponential convergence of neural networks with proportional delays and leakage delays.
But now there is no existing work as regards the global exponential convergence of FCNNs with proportional delays and leakage delays.
Some researchers focus on typical time delays named leakage delays which may exist in many real systems and also have a great impact on the dynamic systems.
Inspired by the viewpoint, it is necessary for us to study the existence and global attractivity for neural networks with proportional delays and leakage delays.
In this paper, the design problem of state estimator for neural networks with mixed time-varying delays and leakage delays has been investigated.
