Synchronization of Stochastic Neural Networks with Leakage Delay and Mixed Time-Varying Delays
Keywords:
Adaptive synchronization, stochastic neural network, leakage delay, lyapunov-krasovskii functional, linear matrix inequality.Abstract
In this paper, the synchronization of stochastic
neural networks with leakage delay and mixed time-varying
delays is studied. Through constructing an improved
Lyapunov-Krasovskii functional, as well as employing
LaSalle-type invariance principle for stochastic differential
delay equations, an adaptive controller is designed to guarantee
the synchronization of stochastic neural networks with leakage
delay and mixed time-varying delays based on linear matrix
inequality (LMI) approach. The provided conditions are
expressed in terms of linear matrix inequalities, and their
feasibility can be easily checked by resorting to Matlab LMI
Toolbox. Moreover, the addressed system can include some
famous neural network models as its special cases, which can
help extend those present results. Finally, the effectiveness of
the proposed method can be further illustrated with the help of
a numerical example.
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