A new augmented Lyapunov–Krasovskii functional approach to exponential passivity for neural networks with time-varying delays
In this paper, the problem of exponential passivity analysis for uncertain neural networks with time-varying delays is considered. By constructing new augmented Lyapunov–Krasovskii’s functionals and some novel analysis techniques, improved delay-dependent criteria for checking the exponential passiv...
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| Veröffentlicht in: | Applied mathematics and computation Jg. 217; H. 24; S. 10231 - 10238 |
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15.08.2011
Elsevier |
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| Abstract | In this paper, the problem of exponential passivity analysis for uncertain neural networks with time-varying delays is considered. By constructing new augmented Lyapunov–Krasovskii’s functionals and some novel analysis techniques, improved delay-dependent criteria for checking the exponential passivity of the neural networks are established. The proposed criteria are represented in terms of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. A numerical example is included to show the superiority of our results. |
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| AbstractList | In this paper, the problem of exponential passivity analysis for uncertain neural networks with time-varying delays is considered. By constructing new augmented Lyapunov-Krasovskii's functionals and some novel analysis techniques, improved delay-dependent criteria for checking the exponential passivity of the neural networks are established. The proposed criteria are represented in terms of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. A numerical example is included to show the superiority of our results. |
| Author | Cha, E.J. Park, Ju H. Lee, S.M. Kwon, O.M. |
| Author_xml | – sequence: 1 givenname: O.M. surname: Kwon fullname: Kwon, O.M. email: madwind@chungbuk.ac.kr organization: School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of Korea – sequence: 2 givenname: Ju H. surname: Park fullname: Park, Ju H. email: jessie@ynu.ac.kr organization: Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea – sequence: 3 givenname: S.M. surname: Lee fullname: Lee, S.M. organization: School of Electronic Engineering, Daegu University, Gyungsan 712-714, Republic of Korea – sequence: 4 givenname: E.J. surname: Cha fullname: Cha, E.J. organization: Department of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of Korea |
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| Cites_doi | 10.1109/TNN.2007.914162 10.1109/TNN.2004.841782 10.1016/S0960-0779(00)00174-0 10.1016/S0005-1098(97)00230-6 10.1016/j.physleta.2005.05.016 10.1016/j.chaos.2005.04.124 10.1155/S1024123X03202015 10.1016/S0960-0779(00)00250-2 10.1109/CDC.2000.914233 10.1007/BF00276493 10.1016/j.automatica.2008.09.010 10.1049/iet-cta:20070325 10.1016/S0960-0779(00)00200-9 10.1016/j.physleta.2010.10.045 10.1109/TNN.2006.881488 10.1007/s11063-009-9116-2 |
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| Keywords | Exponential passivity Lyapunov method LMI Time-varying delays Neural networks Optimization method Exponential analysis Functional analysis Neural network Algorithm Lyapunov functional Numerical analysis Applied mathematics Variational calculus Mathematical programming |
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| SubjectTerms | Algorithms Calculus of variations and optimal control Construction Criteria Delay Exact sciences and technology Exponential passivity Functional analysis LMI Lyapunov method Mathematical analysis Mathematical models Mathematics Neural networks Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Optimization Passivity Sciences and techniques of general use Time-varying delays |
| Title | A new augmented Lyapunov–Krasovskii functional approach to exponential passivity for neural networks with time-varying delays |
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