New Stability Criteria for Neural Networks with Distributed and Probabilistic Delays
 Rongni Yang,
 Huijun Gao,
 James Lam,
 Peng Shi
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This paper is concerned with the stability analysis of neural networks with distributed and probabilistic delays. The probabilistic delay satisfies a certain probability distribution. By introducing a stochastic variable with a Bernoulli distribution, the neural network with random time delays is transformed into one with deterministic delays and stochastic parameters. New conditions for the exponential stability of such neural networks are obtained by employing new Lyapunov–Krasovskii functionals and novel techniques for achieving delay dependence. The proposed conditions reduce the conservatism by considering not only the range of the time delays, but also the probability distribution of their variation. A numerical example is provided to show the advantages of the proposed techniques.
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 Title
 New Stability Criteria for Neural Networks with Distributed and Probabilistic Delays
 Journal

Circuits, Systems & Signal Processing
Volume 28, Issue 4 , pp 505522
 Cover Date
 20090801
 DOI
 10.1007/s0003400890921
 Print ISSN
 0278081X
 Online ISSN
 15315878
 Publisher
 SP Birkhäuser Verlag Boston
 Additional Links
 Topics
 Keywords

 Distributed delay
 Exponential stability
 Neural networks
 Lyapunov–Krasovskii functional
 Timevarying delay
 Industry Sectors
 Authors

 Rongni Yang ^{(1)}
 Huijun Gao ^{(1)}
 James Lam ^{(2)}
 Peng Shi ^{(3)} ^{(4)} ^{(5)}
 Author Affiliations

 1. Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, China
 2. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, China
 3. Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK
 4. Institute for Logistics and Supply Chain Management, School of Computer Science and Mathematics, Victoria University, Melbourne, Australia
 5. School of Mathematics and Statistics, University of South Australia, Adelaide, South Australia, Australia