A Stability Criterion for Nonuniformly Sampled and Distributed Parameter Systems

This paper presents a stability criterion for distributed parameter and uniformly or nonuniformly sampled systems. Specifically, a finite algorithm is presented which tests whether all the zeros of a function of the form F(s) = Z ^8Un > n=0 N lie within the interior of the left half s-plane. Thus, the algorithm tests the stability of those systems ivhose system f unctions are rat ios of finite sums of exponentials. Included in such systems are all distributed systeins whose components are uniform, lossless transmission lines and all sampled systems ivith a periodically varying sampling rate. This paper presents a stability criterion for distributed parameter and uniformly or nonuniformly sampled systems. Specifically, a finite algorithm is presented which tests whether all the zeros of a function of the form (1)