Passivity Analysis of Markovian Jumping Neural Networks with Leakage Time-Varying Delays
Joint Authors
Mala, N.
Sudamani Ramaswamy, A. R.
Source
Journal of Computational Methods in Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-18
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is concerned with the passivity analysis of Markovian jumping neural networks with leakage time-varying delays.
Based on a Lyapunov functional that accounts for the mixed time delays, a leakage delay-dependent passivity conditions are derived in terms of linear matrix inequalities (LMIs).
The mixed delays includes leakage time-varying delays, discrete time-varying delays, and distributed time-varying delays.
By employing a novel Lyapunov-Krasovskii functional having triple-integral terms, new passivity leakage delay-dependent criteria are established to guarantee the passivity performance.
This performance not only depends on the upper bound of the time-varying leakage delay σ(t) but also depends on the upper bound of the derivative of the time-varying leakage delay σμ.
While estimating the upper bound of derivative of the Lyapunov-Krasovskii functional, the discrete and distributed delays should be treated so as to appropriately develop less conservative results.
Two numerical examples are given to show the validity and potential of the developed criteria.
American Psychological Association (APA)
Mala, N.& Sudamani Ramaswamy, A. R.. 2013. Passivity Analysis of Markovian Jumping Neural Networks with Leakage Time-Varying Delays. Journal of Computational Methods in Physics،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-451696
Modern Language Association (MLA)
Mala, N.& Sudamani Ramaswamy, A. R.. Passivity Analysis of Markovian Jumping Neural Networks with Leakage Time-Varying Delays. Journal of Computational Methods in Physics No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-451696
American Medical Association (AMA)
Mala, N.& Sudamani Ramaswamy, A. R.. Passivity Analysis of Markovian Jumping Neural Networks with Leakage Time-Varying Delays. Journal of Computational Methods in Physics. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-451696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451696