连续时间时变参数系统的指数稳定性和L_p指数稳定性(英文)

Exponential Stability and L_p Exponential Stability of Continuous-Time Systems with Time-Varying Parameters

本文给出具有慢时变参数的连续时间线性齐次系统指数稳定的一个一般性条件，并给出具有随机时变参数的连续时间线性齐次系统L_p指数稳定的一个充分条件．这些结果可用来分析带有未建模动态，确定性噪声或随机噪声及慢时变参数的自适应控制系统的稳定性问题．

This paper presents conditions guaranteeing the exponential stability of continuoustime linear homogeneous systems with slowly time-varying parameters and the L_p exponential stability of continuous-time linear homogeneous systems with randomly time-varying parameters.The conditions are motivated by those used in the stability analysis of adaptive control systemswith unmodeled dynamics, deterministic or stochastic disturbances as well as time-varyingparamters.