佳木斯大学学报(自然科学版)
佳木斯大學學報(自然科學版)
가목사대학학보(자연과학판)
JOURNAL OF JIAMUSI UNIVERSITY (NATURAL SCIENCE EDITION)
2015年
1期
137-139
,共3页
指数渐近稳定%Razumihkin定理%黎卡提方程
指數漸近穩定%Razumihkin定理%黎卡提方程
지수점근은정%Razumihkin정리%려잡제방정
exponential asymptotic stability%Razumikhin theorem%Riccati equations
考虑一类含有混合时滞的非自治神经网络系统,通过构造合适的Lyapunov -Kra-sovskii泛函及应用Razunmikhin方法,分析该系统的零解指数稳定性。在文献[4]所研究的系统中引入了新的控制函数,使得所研究的系统更为一般,所得指数稳定性结果应用范围更广。
攷慮一類含有混閤時滯的非自治神經網絡繫統,通過構造閤適的Lyapunov -Kra-sovskii汎函及應用Razunmikhin方法,分析該繫統的零解指數穩定性。在文獻[4]所研究的繫統中引入瞭新的控製函數,使得所研究的繫統更為一般,所得指數穩定性結果應用範圍更廣。
고필일류함유혼합시체적비자치신경망락계통,통과구조합괄적Lyapunov -Kra-sovskii범함급응용Razunmikhin방법,분석해계통적영해지수은정성。재문헌[4]소연구적계통중인입료신적공제함수,사득소연구적계통경위일반,소득지수은정성결과응용범위경엄。
A class of non-autonomous neural networks with mixed delays was studied in this paper .By constructing an appropriate Lyapunov -Krasovskii functional and using Razumikhin technique , the exponential stability of the zero solution of the system was analyzed .A new control function was introduced into the system in [4], which makes the system more general, and the results of exponential stability given in this paper are more applicable .