The novel sufficient condition for stability of discrete-time control system of neural networks
In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptot...
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th-cmuir.6653943832-501242018-09-04T04:24:44Z The novel sufficient condition for stability of discrete-time control system of neural networks K. Ratchagit P. Niamsup Vu N. Phat Mathematics In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptotic stability condition for some class of delay-difference control system such as delay-difference control system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes. © 2010-11 by IJAMAS, CESER Publications. 2018-09-04T04:24:44Z 2018-09-04T04:24:44Z 2011-04-26 Journal 09737545 09731377 2-s2.0-79955047278 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79955047278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50124 |
| institution |
Chiang Mai University |
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Chiang Mai University Library |
| country |
Thailand |
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CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics K. Ratchagit P. Niamsup Vu N. Phat The novel sufficient condition for stability of discrete-time control system of neural networks |
| description |
In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptotic stability condition for some class of delay-difference control system such as delay-difference control system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes. © 2010-11 by IJAMAS, CESER Publications. |
| format |
Journal |
| author |
K. Ratchagit P. Niamsup Vu N. Phat |
| author_facet |
K. Ratchagit P. Niamsup Vu N. Phat |
| author_sort |
K. Ratchagit |
| title |
The novel sufficient condition for stability of discrete-time control system of neural networks |
| title_short |
The novel sufficient condition for stability of discrete-time control system of neural networks |
| title_full |
The novel sufficient condition for stability of discrete-time control system of neural networks |
| title_fullStr |
The novel sufficient condition for stability of discrete-time control system of neural networks |
| title_full_unstemmed |
The novel sufficient condition for stability of discrete-time control system of neural networks |
| title_sort |
novel sufficient condition for stability of discrete-time control system of neural networks |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79955047278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50124 |
| _version_ |
1681423533377323008 |