不确定非线性动力系统的稳定性分析

Stability Analysis of Uncertain Nonlinear Dynamical Systems

本文讨论渐近稳定的非线性名义动力系统在非线性时变扰动下的鲁棒稳定性问题。应用Ｌｙａｐｕｎｏｖ稳定性定理及其推广定理得出了非线性动力系统鲁棒稳定的若干判别准则，并给出了应用所得准则的实际算例。

The stability robustness of an asymptotically stable nonlinear nominal dynamical system withnonlinear time-varying perturbations is addressed in this paper. Using Lyapunov stability theorem andits extended theorems, we obtain the criteria for the robust stability of nonlinear dynamical systems.An illustrative example is given to demonstrate the criteria obtained.