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Exponential stability for impulsive stochastic nonlinear network systems with time delay. (English) Zbl 1406.93366

Summary: We study the exponential stability of the complex dynamical network described by differentially nonlinear equations which couple with time delay and stochastic impulses. Some sufficient conditions are established to ensure \(p\)th moment exponential stable for the stochastic impulsive systems (SIS) with time delay. An example with its numerical simulation is presented to illustrate the validation of main results.

MSC:

93E15 Stochastic stability in control theory
34A37 Ordinary differential equations with impulses
93C15 Control/observation systems governed by ordinary differential equations
34F05 Ordinary differential equations and systems with randomness