Stability analysis of standard and non-standard nonlinear singularly perturbed system with uncertainty

摘要

In this paper, we consider the stability analysis of standard and non-standard nonlinear singularly perturbed systems with uncertainties. First, the uncertain standard nonlinear singularly perturbed system is analyzed by using the exponential stability of the nominal singularly perturbed system. Next, the non-standard nonlinear singularly perturbed system with uncertainties is decomposed into two standard nonlinear singularly perturbed systems with uncertainties. Then, we analyze the stability analysis of the uncertain non-standard nonlinear singularly perturbed system based on two standard nonlinear singularly perturbed systems with uncertainties.