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Zbl 1168.39300
Gao, Ming; Cui, Baotong
Global robust exponential stability of discrete-time interval BAM neural networks with time-varying delays. (English)
[J] Appl. Math. Modelling 33, No. 3, 1270-1284 (2009). ISSN 0307-904X

Summary: This paper is concerned with global robust exponential stability for a class of discrete-time interval bidirectional associative memory (BAM) neural networks with time-varying delays. By employing the Lyapunov functional and linear matrix inequality (LMI) approach, a new sufficient criterion is proposed for the global robust exponential stability of discrete-time BAM neural networks which contain uncertain parameters with their values being bounded. The proposed LMI-based results are computationally efficient as they can be easily checked via the LMI toolbox. Finally, two examples are provided to demonstrate the effectiveness of the obtained results.

MSC 2000:: *39A11 Stability of difference equations
92B20 General theory of neural networks

Keywords: discrete-time system; BAM neural network; robust stability; time-varying delays; linear matrix inequality

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