Abstract
In this paper, the stability of neutral T-S fuzzy neural networks with impulses is considered. By extending a singular impulsive differential inequality to the fuzzy version, some new criteria are established for the exponential stability of network under consideration. The results obtained improve some related works in previous literature. A numerical example is given to illustrate the effectiveness of the theoretical methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Rakkiyappan, R., Balasubramaniam, P., Cao, J.D.: Global exponential stability results for neutral-type impulsive neural networks. Nonlinear Anal.: RWA 11, 122–130 (2010)
Orman, Z.: New sufficient conditions for global stability of neutral-type neural networks with time delays. Neurocomputing 97, 141–148 (2012)
Xu, D.Y., Yang, Z.G., Yang, Z.C.: Exponential stability of nonlinear impulsive neutral differential equations with delays. Nonlinear Anal. 67, 1426–1439 (2007)
Tu, Z.W., Wang, L.W.: Global Lagrange stability for neutral type neural networks with mixed time-varying delays. Int. J. Mach. Learn. Cybern. 1–11 (2016)
Lakshmikantham, V., Bainov, D., Simeonov, P.: Theory of Impulsive Differential Equations. World Scientific, Singapore (1989)
Yang, Z.C., Xu, D.Y.: Stability analysis of delay neural networks with impulsive effects briefs. IEEE Trans. Circuits Syst.-II Express 52, 517–521 (2005)
Gopalsamy, K.: Stability of artificial neural networks with impulses. Appl. Math. Comput. 154, 783–813 (2004)
Takagi, T., Sugeno, M.: Stability analysis and design of fuzzy control systems. Fuzzy Sets Syst. 45, 135–156 (1993)
Balasubramaniam, P., Ali, M.S.: Stability analysis of Takagi-Sugeno fuzzy Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays. Math. Comput. Model. 53, 151–160 (2011)
Ahn, C.: Some new results on stability of Takagi-Sugeno fuzzy Hopfield neural networks. Fuzzy Sets Syst. 179, 100–111 (2011)
Muralisankar, S., Gopalakrishnan, N.: Robust stability criteria for Takagi-Sugeno fuzzy Cohen-Grossberg neural networks of neutral type. Neurocomputing 144, 516–525 (2014)
Chen, B., Liu, X.P., Tong, S.C.: New delay-dependent stabilization conditions of TCS fuzzy systems with constant delay. Fuzzy Sets Syst. 158, 2209–2224 (2007)
Lin, C., Wang, Q.G., Lee, T.H.: Delay dependent LMI conditions for stability and stabilization of Takagi-Sugeno fuzzy systems with bounded time-delays. Fuzzy Sets Syst. 157, 1229–1247 (2006)
Ahn, C.: Passive and exponential filter design for fuzzy neural networks. Inf. Sci. 238, 126–137 (2013)
Long, S.J., Xu, D.Y.: Global exponential \(p\)-stability of stochastic nonautonomous Takagi-Sugeno fuzzy cellular neural networks with time-varying delays and impulses. Fuzzy Sets Syst. 253, 82–100 (2014)
Acknowledgments
This work was supported in part by the National Natural Science Foundation of China under Grant 11501065, the Natural Science Foundation of Chongqing under Grant cstc2015jcyjA00033, the Scientific Research Fund of Sichuan Provincial Education Department under Grant 16TD0029, the Natural Science Foundation of Chongqing Municipal Education Commission under Grants KJ1600504 and KJ1705138, the Research Foundation of Chongqing Jiaotong University under Grant 2014kjc-II-019, and the Project of Leshan Normal University under Grant Z1324.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Long, S., Li, B. (2017). Exponential Stability of Neutral T-S Fuzzy Neural Networks with Impulses. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10262. Springer, Cham. https://doi.org/10.1007/978-3-319-59081-3_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-59081-3_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-59080-6
Online ISBN: 978-3-319-59081-3
eBook Packages: Computer ScienceComputer Science (R0)