A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay
This paper studies the problem for exponential stability of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessarily differentiable. By constructing a set of argumented Lyapunov-Krasovskii function...
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th-cmuir.6653943832-474892018-04-25T08:40:37Z A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit This paper studies the problem for exponential stability of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessarily differentiable. By constructing a set of argumented Lyapunov-Krasovskii functionals combined with the Newton-Leibniz formula, a switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay is designed via linear matrix inequalities, and new sufficient conditions for the exponential stability of switched recurrent neural networks with interval time-varying delay via linear matrix inequalities (LMIs) are derived. A numerical example is given to illustrate the effectiveness of the obtained result. © 2013 Rajchakit et al.; licensee Springer. 2018-04-25T08:40:37Z 2018-04-25T08:40:37Z 2013-11-21 Journal 16871847 16871839 2-s2.0-84878629570 10.1186/1687-1847-2013-44 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878629570&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47489 |
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This paper studies the problem for exponential stability of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessarily differentiable. By constructing a set of argumented Lyapunov-Krasovskii functionals combined with the Newton-Leibniz formula, a switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay is designed via linear matrix inequalities, and new sufficient conditions for the exponential stability of switched recurrent neural networks with interval time-varying delay via linear matrix inequalities (LMIs) are derived. A numerical example is given to illustrate the effectiveness of the obtained result. © 2013 Rajchakit et al.; licensee Springer. |
| format |
Journal |
| author |
Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit |
| spellingShingle |
Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
| author_facet |
Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit |
| author_sort |
Manlika Rajchakit |
| title |
A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
| title_short |
A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
| title_full |
A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
| title_fullStr |
A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
| title_full_unstemmed |
A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
| title_sort |
switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878629570&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47489 |
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