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

Qianhong Zhang; Lihui Yang; Daixi Liao

International Journal of Applied Mathematics and Computer Science (2011)

  • Volume: 21, Issue: 4, page 649-658
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Qianhong Zhang, Lihui Yang, and Daixi Liao. "Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays." International Journal of Applied Mathematics and Computer Science 21.4 (2011): 649-658. <http://eudml.org/doc/208077>.

@article{QianhongZhang2011,
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.},
author = {Qianhong Zhang, Lihui Yang, Daixi Liao},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fuzzy cellular neural networks; global exponential stability; periodic solution; coincidence degree},
language = {eng},
number = {4},
pages = {649-658},
title = {Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays},
url = {http://eudml.org/doc/208077},
volume = {21},
year = {2011},
}

TY - JOUR
AU - Qianhong Zhang
AU - Lihui Yang
AU - Daixi Liao
TI - Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays
JO - International Journal of Applied Mathematics and Computer Science
PY - 2011
VL - 21
IS - 4
SP - 649
EP - 658
AB - 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.
LA - eng
KW - fuzzy cellular neural networks; global exponential stability; periodic solution; coincidence degree
UR - http://eudml.org/doc/208077
ER -

References

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