Exponential Stability for Impulsive Stochastic Nonlinear Network Systems with Time Delay

Exponential Stability for Impulsive Stochastic Nonlinear Network Systems with Time Delay

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 pth moment exponential stable for the stochastic impulsive systems (SIS) with...

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Veröffentlicht in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.646-650-765
Hauptverfasser: Chen, Lanping, Han, Zhengzhi, Ma, Zhenghua
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations, Nonlinear
Dynamical systems
Mathematical models
Mathematical problems
Mathematical research
Networks
Nonlinear dynamics
Nonlinear equations
Power plants
Science
Stability
Stochastic processes
Stochasticity
Time delay
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Zusammenfassung: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 pth 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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/787568