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.6653943832-72372014-08-30T03:51:43Z A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay Rajchakit M. Niamsup P. Rajchakit G. 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. 2014-08-30T03:51:43Z 2014-08-30T03:51:43Z 2013 Article 16871839 10.1186/1687-1847-2013-44 http://www.scopus.com/inward/record.url?eid=2-s2.0-84878629570&partnerID=40&md5=176925f6afb29f71c0b5f31c4dd416a1 http://cmuir.cmu.ac.th/handle/6653943832/7237 English |
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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 |
Article |
author |
Rajchakit M. Niamsup P. Rajchakit G. |
spellingShingle |
Rajchakit M. Niamsup P. Rajchakit G. A switching rule for exponential stability of switched recurrent neural networks with interval time-varying delay |
author_facet |
Rajchakit M. Niamsup P. Rajchakit G. |
author_sort |
Rajchakit M. |
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 |
2014 |
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http://www.scopus.com/inward/record.url?eid=2-s2.0-84878629570&partnerID=40&md5=176925f6afb29f71c0b5f31c4dd416a1 http://cmuir.cmu.ac.th/handle/6653943832/7237 |
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