Asymptotical Stability for 2-D Stochastic Coupled FMII Models on Networks

摘要

In this paper, computable stability criteria for two dimensional stochastic coupled FMII models on networks are studied based on Kronecker product and nonnegative matrices theory. Necessary and sufficient condition for two dimensional stochastic coupled FMII models on networks is presented, this is the first time that has been proposed. Then, computable mean-square asymptotic stability criteria are derived via Kronecker product and the nonnegative matrix theory. The criteria are only sufficient conditions. Finally, illustrative examples are provided.