A Lyapunov-Poincaré stability analysis for nonperiodic sampling systems

AbstractThis paper relates the asymptotic and bounded-input bounded-output (BIBO) stability properties of a nonperiodic sampling system with respect to those of a nominal system obtained for a constant nominal sampling period. The stability properties depend on the nominal system state (or alternatively the current one) as does the fastest time constant of the system. Appropriate input-output, time-varying difference equations are derived under weak conditions