Asymptotic Stability of Controlling Uncertain Dynamical Systems

Asymptotic stabilisation of general uncertain dynamical systems is investigated. A new theoretical result on asymptotical stability is presented. Based on the result, a new class of continuous feedback controls is proposed to guarantee asymptotic stability for any uncertain systems whose nominal system is uniformly asymptotically stable. The required information about uncertain dynamics in the system is merely that the uncertainties are bounded in Euclidean norm by a known function of the system state.