Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays
Cohen-Grossberg neural networks with delays provide a very powerful tool in the study of information processing, parallel computation, pattern recognition and solving of optimization problems. The robust stability behavior of such neural network models is essential in their numerous applications. Al...
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doaj-29c5df0dfade462291a8ae45edeff2322021-03-30T04:29:45ZengIEEEIEEE Access2169-35362020-01-01822289022289910.1109/ACCESS.2020.30441919291445Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed DelaysJinde Cao0https://orcid.org/0000-0003-3133-7119Trayan Stamov1Sotir Sotirov2Evdokia Sotirova3Ivanka Stamova4https://orcid.org/0000-0001-6723-2699School of Mathematics, Southeast University, Nanjing, ChinaDepartment of Machine Elements and Non-metallic Constructions, Technical University of Sofia, Sofia, BulgariaDepartment of Computer Systems and Technologies, Burgas “Prof. Dr. Assen Zlatarov” University, Burgas, BulgariaFaculty of Public Health and Health Care, Burgas “Prof. Dr. Assen Zlatarov” University, Burgas, BulgariaDepartment of Mathematics, The University of Texas at San Antonio, San Antonio, TX, USACohen-Grossberg neural networks with delays provide a very powerful tool in the study of information processing, parallel computation, pattern recognition and solving of optimization problems. The robust stability behavior of such neural network models is essential in their numerous applications. Also, since the effect of various types of impulsive perturbations has been found to be remarkably important in the implementation of complex networks, the hybrid impulsive networks paradigm has gained increasing popularity during the last few decades. In this paper, an impulsive control strategy is proposed via variable impulsive perturbations for the robust stability with respect to manifolds for a class of Cohen-Grossberg neural networks with mixed delays and uncertain parameters. To this end, first new stability criteria are established for the nominal system under impulsive control. Then, the robust stability results are proposed. Finally, examples are considered to illustrate our impulsive control strategy. We generalize and extend some known robust stability results considering stability with respect to manifolds instead of isolated states stability.https://ieeexplore.ieee.org/document/9291445/Cohen–Grossberg neural networksh-manifoldsimpulsive controlvariable impulsive perturbationsrobust stabilitymixed delays |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jinde Cao Trayan Stamov Sotir Sotirov Evdokia Sotirova Ivanka Stamova |
spellingShingle |
Jinde Cao Trayan Stamov Sotir Sotirov Evdokia Sotirova Ivanka Stamova Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays IEEE Access Cohen–Grossberg neural networks h-manifolds impulsive control variable impulsive perturbations robust stability mixed delays |
author_facet |
Jinde Cao Trayan Stamov Sotir Sotirov Evdokia Sotirova Ivanka Stamova |
author_sort |
Jinde Cao |
title |
Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays |
title_short |
Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays |
title_full |
Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays |
title_fullStr |
Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays |
title_full_unstemmed |
Impulsive Control Via Variable Impulsive Perturbations on a Generalized Robust Stability for Cohen–Grossberg Neural Networks With Mixed Delays |
title_sort |
impulsive control via variable impulsive perturbations on a generalized robust stability for cohen–grossberg neural networks with mixed delays |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
Cohen-Grossberg neural networks with delays provide a very powerful tool in the study of information processing, parallel computation, pattern recognition and solving of optimization problems. The robust stability behavior of such neural network models is essential in their numerous applications. Also, since the effect of various types of impulsive perturbations has been found to be remarkably important in the implementation of complex networks, the hybrid impulsive networks paradigm has gained increasing popularity during the last few decades. In this paper, an impulsive control strategy is proposed via variable impulsive perturbations for the robust stability with respect to manifolds for a class of Cohen-Grossberg neural networks with mixed delays and uncertain parameters. To this end, first new stability criteria are established for the nominal system under impulsive control. Then, the robust stability results are proposed. Finally, examples are considered to illustrate our impulsive control strategy. We generalize and extend some known robust stability results considering stability with respect to manifolds instead of isolated states stability. |
topic |
Cohen–Grossberg neural networks h-manifolds impulsive control variable impulsive perturbations robust stability mixed delays |
url |
https://ieeexplore.ieee.org/document/9291445/ |
work_keys_str_mv |
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