Mean-square exponential stability of stochastic inertial neural networks

Wentao Wang, Wei Chen · International Journal of Control · 2020

By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. To describe dynamics behaviours of this stochastic system accurately, we introduce the concept of mean-square exponential stability. By constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential stability on the addressed system, which extend and improve the latest results. In addition, an example with numerical simulation is provided to support the theoretical findings.

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