An extended stability theorem for nonlinear systems subject to slowly varying exogenous signals

Deals with the stability properties of nonlinear systems subject to slowly varying exogenous signals. First, a well-known stability result of linear time-varying systems is improved. Second, an extended stability theorem is established for nonlinear systems where exogenous signals are slowly-varying in the sense of moving-average. Finally, the application of this extended theorem to automated vehicle platoons is outlined.