This paper proposes a unified approach for studying global exponential stability of general class switched systems described by time-varying nonlinear functional differential equations. Some new delay-independent criteria are established this under arbitrary switching which satisfies some assumptions on the average dwell time. The obtained shown to cover and improve many previously known result...

A Liapunov theorem is introduced guaranteeing uniform boundedness and uniform ultimate boundedness for a timevarying nonlinear system _ x(t) = f(x(t); t). The study of uniform boundedness and uniform ultimate boundedness of particular classes of time-varying nonlinear systems _ x(t) = f(x(t); t) is reduced to the study of the corresponding timeinvariant frozen systems _ x(t) = f(x(t); ) for all...