IEEE Transactions on Neural Networks · 2008 · 287 citations · 28 references
EngineeringMathematicsDynamical SystemsStochastic ModelingStochastic ProcessesNetwork StabilityStability TheoryStochastic Differential EquationsStochastic NetworksStochastic StabilityTime Delay EffectsDelay-dependent StabilityDelay-dependent Stability AnalysisDelay-dependent Stability CriteriaDelay-induced Stability AnalysisDiscrete DelaysGlobal StabilityGlobal Stability AnalysisNeural Networks With Delay
In this letter, the global asymptotical stability analysis problem is considered for a class of Markovian jumping stochastic Cohen-Grossberg neural networks (CGNNs) with mixed delays including discrete delays and distributed delays. An alternative delay-dependent stability analysis result is established based on the linear matrix inequality (LMI) technique, which can easily be checked by utilizing the numerically efficient Matlab LMI toolbox. Neither system transformation nor free-weight matrix via Newton-Leibniz formula is required. Two numerical examples are included to show the effectiveness of the result.
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Stochastic differential equations and applications
Gian‐Carlo Rota · Advances in Mathematics · 1977 · 1.2K citations
Diffusion Processes and their Sample Paths.
G. F. Newell, Kanae Ito, H. P. McKean · American Mathematical Monthly · 1968 · 1.1K citations