Stability analysis of delayed neural network using new delay-product based functionals
This paper concerns with stability analysis of neural networks with time varying delay. Two new delay-product type functionals (DPFs) are developed by introducing new states in the augmented vector of delay-product term. Then using these DPFs, two new Lyapunov-Krasovskii functionals (LKFs) are const...
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| Published in | Neurocomputing (Amsterdam) Vol. 417; pp. 106 - 113 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
05.12.2020
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| Abstract | This paper concerns with stability analysis of neural networks with time varying delay. Two new delay-product type functionals (DPFs) are developed by introducing new states in the augmented vector of delay-product term. Then using these DPFs, two new Lyapunov-Krasovskii functionals (LKFs) are constructed. Based on these LKFs, two delay-dependent stability criterion are obtained in the form of linear matrix inequalities. The effectiveness of the proposed criterion for delayed neural network is demonstrated by considering two examples. |
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| AbstractList | This paper concerns with stability analysis of neural networks with time varying delay. Two new delay-product type functionals (DPFs) are developed by introducing new states in the augmented vector of delay-product term. Then using these DPFs, two new Lyapunov-Krasovskii functionals (LKFs) are constructed. Based on these LKFs, two delay-dependent stability criterion are obtained in the form of linear matrix inequalities. The effectiveness of the proposed criterion for delayed neural network is demonstrated by considering two examples. |
| Author | Mahto, Sharat Chandra Saket, R.K. Ghosh, Sandip Nagar, Shyam Krishna |
| Author_xml | – sequence: 1 givenname: Sharat Chandra surname: Mahto fullname: Mahto, Sharat Chandra email: sharatcm.rs.eee15@itbhu.ac.in – sequence: 2 givenname: Sandip surname: Ghosh fullname: Ghosh, Sandip – sequence: 3 givenname: R.K. surname: Saket fullname: Saket, R.K. email: rksaket.eee@itbhu.ac.in – sequence: 4 givenname: Shyam Krishna surname: Nagar fullname: Nagar, Shyam Krishna email: sknagar.eee@itbhu.ac.in |
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| Keywords | Linear matrix inequality Delay-product functionals Stability analysis Time varying delay Delayed neural network |
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| SubjectTerms | Delay-product functionals Delayed neural network Linear matrix inequality Stability analysis Time varying delay |
| Title | Stability analysis of delayed neural network using new delay-product based functionals |
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