Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach
© 2012 IEEE. This paper examines the robust stabilization problem of continuous-time delayed neural networks via the dissipativity-learning approach. A new learning algorithm is established to guarantee the asymptotic stability as well as the (Q,S,R) - α -dissipativity of the considered neural netw...
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th-mahidol.506422020-01-27T15:20:55Z Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach Ramasamy Saravanakumar Hyung Soo Kang Choon Ki Ahn Xiaojie Su Hamid Reza Karimi Chongqing University Politecnico di Milano Mahidol University Kunsan National University Korea University Computer Science © 2012 IEEE. This paper examines the robust stabilization problem of continuous-time delayed neural networks via the dissipativity-learning approach. A new learning algorithm is established to guarantee the asymptotic stability as well as the (Q,S,R) - α -dissipativity of the considered neural networks. The developed result encompasses some existing results, such as H ∞ and passivity performances, in a unified framework. With the introduction of a Lyapunov-Krasovskii functional together with the Legendre polynomial, a novel delay-dependent linear matrix inequality (LMI) condition and a learning algorithm for robust stabilization are presented. Demonstrative examples are given to show the usefulness of the established learning algorithm. 2020-01-27T08:20:55Z 2020-01-27T08:20:55Z 2019-03-01 Article IEEE Transactions on Neural Networks and Learning Systems. Vol.30, No.3 (2019), 913-922 10.1109/TNNLS.2018.2852807 21622388 2162237X 2-s2.0-85050997468 https://repository.li.mahidol.ac.th/handle/123456789/50642 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85050997468&origin=inward |
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Computer Science Ramasamy Saravanakumar Hyung Soo Kang Choon Ki Ahn Xiaojie Su Hamid Reza Karimi Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach |
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© 2012 IEEE. This paper examines the robust stabilization problem of continuous-time delayed neural networks via the dissipativity-learning approach. A new learning algorithm is established to guarantee the asymptotic stability as well as the (Q,S,R) - α -dissipativity of the considered neural networks. The developed result encompasses some existing results, such as H ∞ and passivity performances, in a unified framework. With the introduction of a Lyapunov-Krasovskii functional together with the Legendre polynomial, a novel delay-dependent linear matrix inequality (LMI) condition and a learning algorithm for robust stabilization are presented. Demonstrative examples are given to show the usefulness of the established learning algorithm. |
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Chongqing University |
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Chongqing University Ramasamy Saravanakumar Hyung Soo Kang Choon Ki Ahn Xiaojie Su Hamid Reza Karimi |
format |
Article |
author |
Ramasamy Saravanakumar Hyung Soo Kang Choon Ki Ahn Xiaojie Su Hamid Reza Karimi |
author_sort |
Ramasamy Saravanakumar |
title |
Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach |
title_short |
Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach |
title_full |
Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach |
title_fullStr |
Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach |
title_full_unstemmed |
Robust Stabilization of Delayed Neural Networks: Dissipativity-Learning Approach |
title_sort |
robust stabilization of delayed neural networks: dissipativity-learning approach |
publishDate |
2020 |
url |
https://repository.li.mahidol.ac.th/handle/123456789/50642 |
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1763489532111486976 |