Abstract: This paper reviews analytical stability tests for one-dimensional linear systems since the early tests of E. J. Routh in his famous Adams Prize essay of 1877. The historical background of ...

Abstract: A review of the progress made in sampled-data systems during the last thirty years is presented in this paper. In particular the impact of the discrete theory on the continuous counterpart ...

Abstract: A general procedure for obtaining information on the periodic modes of oscillation in PWM and nonlinear sampled-data feedback systems is considered in this paper. Based on the equivalence of ...

Abstract: A fundamental equation which yields the limit-cycle feature of PWM feedback system is derived in this paper. The application of this equation to obtain the response of the autonomous as well ...

Abstract: In this paper the weighted quadratic sum J = k=0∞ xk1 Qk xk of a stable linear discrete system xk+1 = Axk is discussed. The formula of J is obtained from matrix z-transform formulation. ...

Abstract: In this paper the concept of interchangeability of inners and principal minors is developed for the Hurwitz problem and for the aperiodicity condition simplifying the existing criteria. The ...