%0 Journal Article %T New stability criteria for recurrent neural networks with a time-varying delay
%A Hong-Bing Zeng %A Shen-Ping Xiao %A Bin Liu %A
%J 国际自动化与计算杂志 %D 2011 %I %X This paper deals with the stability of static recurrent neural networks (RNNs) with a time-varying delay. An augmented Lyapunov-Krasovskii functional is employed, in which some useful terms are included. Furthermore, the relationship among the time-varying delay, its upper bound and their difference, is taken into account, and novel bounding techniques for 1 $ \dot \tau $ \dot \tau (t) are employed. As a result, without ignoring any useful term in the derivative of the Lyapunov-Krasovskii functional, the resulting delay-dependent criteria show less conservative than the existing ones. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods. %K Stability %K recurrent neural networks (RNNs) %K time-varying delay %K delay-dependent %K augmented Lyapunov-Krasovskii functional
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7139AD613512F4F05F6D525B914296AA&aid=D7E726EE1E4828AB4D48F5913CAFF133&yid=9377ED8094509821&vid=5D311CA918CA9A03&iid=CA4FD0336C81A37A&sid=1F199509C0B6C4D6&eid=76B5E24D6EC46B4B&journal_id=1476-8186&journal_name=国际自动化与计算杂志&referenced_num=0&reference_num=25