Novel delay-dependent stability criteria for neural networks with interval time-varying delay

作者: Jian-An Wang

DOI: 10.1088/1674-1056/20/12/120701

关键词: Decomposition method (constraint satisfaction)Applied mathematicsLinear matrix inequalityArtificial neural networkStability (probability)MathematicsExponential stabilityType (model theory)Interval (mathematics)Convex combination

摘要: The problem of delay-dependent asymptotic stability for neural networks with interval time-varying delay is investigated. Based on the idea decomposition method, a new type Lyapunov—Krasovskii functional constructed. Several novel criteria are presented in terms linear matrix inequality by using Jensen integral and convex combination technique. Numerical examples given to demonstrate that proposed method effective less conservative.

参考文章(29)
X.-L. Zhu, G.-H. Yang, Y. Wang, Brief paper New stability criteria for continuous-time systems with interval time-varying delay Iet Control Theory and Applications. ,vol. 4, pp. 1101- 1107 ,(2010) , 10.1049/IET-CTA.2009.0176
Tianping Chen, Libin Rong, Delay-independent stability analysis of Cohen-Grossberg neural networks Physics Letters A. ,vol. 317, pp. 436- 449 ,(2003) , 10.1016/J.PHYSLETA.2003.08.066
Changchun Hua, Chengnian Long, Xinping Guan, New results on stability analysis of neural networks with time-varying delays Physics Letters A. ,vol. 352, pp. 335- 340 ,(2006) , 10.1016/J.PHYSLETA.2005.12.005
Junkang Tian, Xiangbing Zhou, Improved asymptotic stability criteria for neural networks with interval time-varying delay Expert Systems With Applications. ,vol. 37, pp. 7521- 7525 ,(2010) , 10.1016/J.ESWA.2010.04.093
SHENGYUAN XU, JAMES LAM, DANIEL W. C. HO, Delay-Dependent Asymptotic Stability of Neural Networks with Time-Varying Delays International Journal of Bifurcation and Chaos. ,vol. 18, pp. 245- 250 ,(2008) , 10.1142/S0218127408020276
M.J.A.M. van Putten, C.J. Stam, Application of a neural complexity measure to multichannel EEG Physics Letters A. ,vol. 281, pp. 131- 141 ,(2001) , 10.1016/S0375-9601(01)00121-9
Yonggang Chen, Yuanyuan Wu, Novel delay-dependent stability criteria of neural networks with time-varying delay Neurocomputing. ,vol. 72, pp. 1065- 1070 ,(2009) , 10.1016/J.NEUCOM.2008.03.006
Hanyong Shao, Novel Delay-Dependent Stability Results for Neural Networks with Time-Varying Delays Circuits Systems and Signal Processing. ,vol. 29, pp. 637- 647 ,(2010) , 10.1007/S00034-010-9164-X