Bifurcation Analysis and H∞ Control of a Stochastic Competition Model with Time Delay [post]

Yue Zhang, Jing Zhang
2021 unpublished
In this paper, we study a stochastic competition model with time delay and harvesting.We first simplify it through the stochastic center manifold reduction principle and stochastic averaging method as a one-dimensional Markov diffusion process. Singular boundary theory and an invariant measure are applied to analyze stochastic stability and bifurcation. The T-S fuzzy model of the system is constructed, and the H∞ fuzzy controller is designed to eliminate the bifurcation phenomenon through a
more » ... ar matrix inequality approach. Numerical simulation is used to demonstrate our results.
doi:10.21203/rs.3.rs-397580/v1 fatcat:a2w6eqgdzzflhfbissl4a5l5ra