Delay-range-dependent stability for fuzzy BAM neural networks with time-varying delays
Date
2009
Authors
Liu, B.
Shi, P.
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Journal article
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Physics Letters A: General Physics, Nonlinear Science, Statistical Physics, Atomic, Molecular and Cluster Physics, Plasma and Fluid Physics, Condensed Matter, Cross-disciplinary Physics, Biological Physics, Nanosciences, Quantum Physics, 2009; 373(21):1830-1838
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Bin Liu, Peng Shi
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Abstract
This Letter considers the problem of delay-range-dependent stability for fuzzy bi-directional associative memory (BAM) neural networks with time-varying interval delays. Based on Lyapunov-Krasovskii theory, the delay-range-dependent stability criteria are derived in terms of linear matrix inequalities (LMIs). By constructing new Lyapunov-Krasovskii functional, stability conditions are dependent on the upper and lower bounds of the delays, which is made possible by using some advanced techniques for achieving delay dependence. A numerical example is given to illustrate the effectiveness of the proposed method. © 2009 Elsevier B.V. All rights reserved.
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© 2009 Elsevier B.V. All rights reserved.