NDLI: Passivity analysis of uncertain stochastic neural networks with time-varying delays and Markovian jumping parameters

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Passivity analysis of uncertain stochastic neural networks with time-varying delays and Markovian jumping parameters

Content Provider	Scilit
Author	Ali, M. Syed Rani, M. Esther
Copyright Year	2015
Description	Journal: Network: Computation in Neural Systems This paper investigates the problem of robust passivity of uncertain stochastic neural networks with time-varying delays and Markovian jumping parameters. To reflect most of the dynamical behaviors of the system, both parameter uncertainties and stochastic disturbances are considered; stochastic disturbances are given in the form of a Brownian motion. By utilizing the Lyapunov functional method, the Itô differential rule, and matrix analysis techniques, we establish a sufficient criterion such that, for all admissible parameter uncertainties and stochastic disturbances, the stochastic neural network is robustly passive in the sense of expectation. A delay-dependent stability condition is formulated, in which the restriction of the derivative of the time-varying delay should be less than 1 is removed. The derived criteria are expressed in terms of linear matrix inequalities that can be easily checked by using the standard numerical software. Illustrative examples are presented to demonstrate the effectiveness and usefulness of the proposed results.
Related Links	https://www.tandfonline.com/doi/pdf/10.3109/0954898X.2016.1145752
Ending Page	96
Page Count	24
Starting Page	73
ISSN	0954898X
e-ISSN	13616536
DOI	10.3109/0954898x.2016.1145752
Journal	Network: Computation in Neural Systems
Issue Number	3-4
Volume Number	26
Language	English
Publisher	Informa UK Limited
Publisher Date	2015-10-02
Access Restriction	Open
Subject Keyword	Journal: Network: Computation in Neural Systems Automotive Engineering Delayed Neural Networks Linear Matrix Inequality Lyapunov Functional Markovian Jumping Parameters Parameter Uncertainty Stochastic Disturbance Time-varying Delays
Content Type	Text
Subject	Neuroscience

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