**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31103

##### Existence and Stability Analysis of Discrete-time Fuzzy BAM Neural Networks with Delays and Impulses

**Authors:**
Chao Wang,
Yongkun Li

**Abstract:**

In this paper, the discrete-time fuzzy BAM neural network with delays and impulses is studied. Sufficient conditions are obtained for the existence and global stability of a unique equilibrium of this class of fuzzy BAM neural networks with Lipschitzian activation functions without assuming their boundedness, monotonicity or differentiability and subjected to impulsive state displacements at fixed instants of time. Some numerical examples are given to demonstrate the effectiveness of the obtained results.

**Keywords:**
equilibrium point,
Global exponential stability,
Discrete-time fuzzy BAM neural networks,
ımpulses,
global asymptotical stability

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1333913

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