Continuous state feedback control guaranteeing exponential stability for uncertain dynamical systems

Exponential stabilization of general uncertain dynamical systems is investigated. A class of continuous feedback controls is proposed to guarantee exponential stability for any uncertain systems whose nominal system is exponentially stable. The design approach, utilizing a state transformation, can be used to construct various classes of continuous controllers that render the system exponentially 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