Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect
This paper considers dynamical behaviors of a class of fuzzy impulsive reaction-diffusion delayed cellular neural networks (FIRDDCNNs) with time-varying periodic self-inhibitions, interconnection weights, and inputs. By using delay differential inequality, M-matrix theory, and analytic methods, some...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/645262 |
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| _version_ | 1832547585140719616 |
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| author | Guowei Yang Yonggui Kao Changhong Wang |
| author_facet | Guowei Yang Yonggui Kao Changhong Wang |
| author_sort | Guowei Yang |
| collection | DOAJ |
| description | This paper considers dynamical behaviors of a class of fuzzy
impulsive reaction-diffusion delayed cellular neural networks
(FIRDDCNNs) with time-varying periodic self-inhibitions,
interconnection weights, and inputs. By using delay differential
inequality, M-matrix theory, and analytic methods, some new
sufficient conditions ensuring global exponential stability of the
periodic FIRDDCNN model with Neumann boundary conditions are
established, and the exponential convergence rate index is
estimated. The differentiability of the time-varying delays is not
needed. An example is presented to demonstrate the efficiency and
effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-844d7cf924914daa98b3920be2fce916 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-844d7cf924914daa98b3920be2fce9162025-02-03T06:44:14ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/645262645262Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive EffectGuowei Yang0Yonggui Kao1Changhong Wang2College of Information Engineering, Nanchang Hangkong University, Nanchang 330063, ChinaSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaThis paper considers dynamical behaviors of a class of fuzzy impulsive reaction-diffusion delayed cellular neural networks (FIRDDCNNs) with time-varying periodic self-inhibitions, interconnection weights, and inputs. By using delay differential inequality, M-matrix theory, and analytic methods, some new sufficient conditions ensuring global exponential stability of the periodic FIRDDCNN model with Neumann boundary conditions are established, and the exponential convergence rate index is estimated. The differentiability of the time-varying delays is not needed. An example is presented to demonstrate the efficiency and effectiveness of the obtained results.http://dx.doi.org/10.1155/2013/645262 |
| spellingShingle | Guowei Yang Yonggui Kao Changhong Wang Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect Abstract and Applied Analysis |
| title | Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect |
| title_full | Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect |
| title_fullStr | Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect |
| title_full_unstemmed | Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect |
| title_short | Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect |
| title_sort | exponential stability and periodicity of fuzzy delayed reaction diffusion cellular neural networks with impulsive effect |
| url | http://dx.doi.org/10.1155/2013/645262 |
| work_keys_str_mv | AT guoweiyang exponentialstabilityandperiodicityoffuzzydelayedreactiondiffusioncellularneuralnetworkswithimpulsiveeffect AT yongguikao exponentialstabilityandperiodicityoffuzzydelayedreactiondiffusioncellularneuralnetworkswithimpulsiveeffect AT changhongwang exponentialstabilityandperiodicityoffuzzydelayedreactiondiffusioncellularneuralnetworkswithimpulsiveeffect |