Robust stability of a class of nonlinear prey-predator systems with stage structure

摘要

In this paper, the robust stability problem of prey-predator systems is investigated. As is known, the systems are always suffer from internal parametrical perturbations and external disturbances, and the robustness is the property to maintain the function of the prey-predator systems despite these perturbations.In this study, the nonlinearity of the prey-predator systems is considered. Based on Lyapunov stability theory, the local asymptotic stability of the systems is considered, and the sufficient condition of local robust stability is proposed by a linear matrix inequality (LMI). An example is given to show the effectiveness of the proposed method.