Deterministic control for a new class of uncertain dynamical systems

Given a dynamical system whose state equation includes time-varying uncertain parameters, it is desired to design a class of state feedback controls leading to certain deterministic performance. Within the perspective of previous research in this area, this paper contains one salient feature: the new class of uncertain systems which we characterize is shown to include the ones previously considered (see, e.g., [1]-[5]). The sole knowledge needed for the design is the set of possible values of the uncertainties. The proposed feedback controls are continuous functions of the state.