摘要
本文讨论离散系统部分变元稳定时如何寻找系统的V函数问题。所给结论是实用的,证明是构造性的。§1是几个引理及有关证明,§2具体讨论了常数线性离散系统和一类时变线性系统V函数的构造,§3是把§2的结果应用到大系统的稳定性分析中。给出离散型两类大系统部分稳定的充分条件。
This paper discusses how to look for the V function of the system when partial variables of the discrete system are stable. The conclusion given is practical and the proof is constructive. In § 1 several lemmas and the proofs concerned are given. In § 2 it deals with concretely the construction of V functions for the linear discrete system with constant coefficents and a tape of ststem with variable coefficients. In § 3 the results of § 2 are applied to stability analysis of the large-scale system,with the sufficient conditions of partial stability for tow tapes of discret large scale systems given.
出处
《天津商学院学报》
1992年第2期1-4,共4页
Journal of Tianjin University of Commerce
