<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.</p></abstract>

Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

Guizhou Key Laboratory of Economic Systems Simulation, School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, PR China

Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, PR China

Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, PR China

International Journal of Applied Mathematics and Computer Science

Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic...

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

Published Online: Dec 21, 2011

Page range: 649 - 658

DOI: https://doi.org/10.2478/v10006-011-0051-9

Keywords
fuzzy cellular neural networks, global exponential stability, periodic solution, coincidence degree

This content is open access.

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

Published Online: Dec 21, 2011

Page range: 649 - 658

DOI: https://doi.org/10.2478/v10006-011-0051-9

Keywordsfuzzy cellular neural networks, global exponential stability, periodic solution, coincidence degree

This content is open access.

Keywords
fuzzy cellular neural networks, global exponential stability, periodic solution, coincidence degree