Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties
Abstract The robust stability for the impulsive complex-valued neural networks with mixed time delays is considered in this paper. Based on the homeomorphic mapping theorem, some sufficient conditions are proposed for the existence and uniqueness of the equilibrium point. By constructing appropriate...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1521-2 |
| _version_ | 1831684008976580608 |
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| author | Yuanshun Tan Sanyi Tang Xiaofeng Chen |
| author_facet | Yuanshun Tan Sanyi Tang Xiaofeng Chen |
| author_sort | Yuanshun Tan |
| collection | DOAJ |
| description | Abstract The robust stability for the impulsive complex-valued neural networks with mixed time delays is considered in this paper. Based on the homeomorphic mapping theorem, some sufficient conditions are proposed for the existence and uniqueness of the equilibrium point. By constructing appropriate Lyapunov–Krasovskii functions and employing modulus inequality techniques, the global robust stability theorem is obtained for the neural networks in complex domain. Finally, numerical simulations confirm the stability of the system and manifest that the complex-valued neural networks work efficiently on storing and retrieving the image patterns. |
| first_indexed | 2024-12-20T06:49:14Z |
| format | Article |
| id | doaj.art-2962ff90f52e4aad9d4e6560b2bbabf1 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T06:49:14Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-2962ff90f52e4aad9d4e6560b2bbabf12022-12-21T19:49:37ZengSpringerOpenAdvances in Difference Equations1687-18472018-02-012018111810.1186/s13662-018-1521-2Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertaintiesYuanshun Tan0Sanyi Tang1Xiaofeng Chen2College of Mathematics and Statistics, Chongqing Jiaotong UniversitySchool of Mathematics and Statistics, Shaanxi Normal UniversityCollege of Mathematics and Statistics, Chongqing Jiaotong UniversityAbstract The robust stability for the impulsive complex-valued neural networks with mixed time delays is considered in this paper. Based on the homeomorphic mapping theorem, some sufficient conditions are proposed for the existence and uniqueness of the equilibrium point. By constructing appropriate Lyapunov–Krasovskii functions and employing modulus inequality techniques, the global robust stability theorem is obtained for the neural networks in complex domain. Finally, numerical simulations confirm the stability of the system and manifest that the complex-valued neural networks work efficiently on storing and retrieving the image patterns.http://link.springer.com/article/10.1186/s13662-018-1521-2Complex-valued neural networksModulus inequality techniquesRobust stabilityMixed time delaysImpulse |
| spellingShingle | Yuanshun Tan Sanyi Tang Xiaofeng Chen Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties Advances in Difference Equations Complex-valued neural networks Modulus inequality techniques Robust stability Mixed time delays Impulse |
| title | Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties |
| title_full | Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties |
| title_fullStr | Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties |
| title_full_unstemmed | Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties |
| title_short | Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties |
| title_sort | robust stability analysis of impulsive complex valued neural networks with mixed time delays and parameter uncertainties |
| topic | Complex-valued neural networks Modulus inequality techniques Robust stability Mixed time delays Impulse |
| url | http://link.springer.com/article/10.1186/s13662-018-1521-2 |
| work_keys_str_mv | AT yuanshuntan robuststabilityanalysisofimpulsivecomplexvaluedneuralnetworkswithmixedtimedelaysandparameteruncertainties AT sanyitang robuststabilityanalysisofimpulsivecomplexvaluedneuralnetworkswithmixedtimedelaysandparameteruncertainties AT xiaofengchen robuststabilityanalysisofimpulsivecomplexvaluedneuralnetworkswithmixedtimedelaysandparameteruncertainties |