Abstract

This paper is concerned with the problem of exponential stability for a class of impulsive fuzzy Cohen–Grossberg neural networks with mixed time delays and reaction–diffusion. The mixed delays include time-varying delays and continuously distributed delays. Based on the Lyapunov method, Poincaré Integral Inequality, and the linear matrix inequality (LMI) approach, we found some new sufficient conditions ensuring the global exponential stability of equilibrium point for impulsive fuzzy Cohen–Grossberg neural networks with mixed time delays and reaction–diffusion terms. These global exponential stability conditions depend on the reaction–diffusion terms and time delays. The results presented in this paper are less conservative than the existing sufficient stability conditions. Finally, some examples are given to show the effectiveness and superiority of the theoretical results.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.