Stabilization control of generalized type neural networks with piecewise constant argument

Volume 9, Issue 6, pp 3580--3599 http://dx.doi.org/10.22436/jnsa.009.06.12

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Authors

Liguang Wan - College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, China. Ailong Wu - hbnuwu@yeah.net, Hubei Normal University, Huangshi 435002, China.

Abstract

The generalized type neural networks have always been a hotspot of research in recent years. This paper concerns the stabilization control of generalized type neural networks with piecewise constant argument. Through three types of stabilization control rules (single state stabilization control rule, multiple state stabilization control rule and output stabilization control rule), together with the estimate of the state vector with piecewise constant argument, several succinct criteria of stabilization are derived. The obtained results improve and extend some existing results. Two numerical examples are proposed to substantiate the effectiveness of the theoretical results.

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Keywords

• Generalized type systems
• neural networks
• state stabilization
• output stabilization.

MSC

•  34H15
•  93D15

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