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(09.1/c-1)文中建立了由差分方程定义的离散系统的比较定理,导出了与连续系统类似的向量 V 函数法,从而为将复杂系统(或大系统)的稳定性问题化为简单系统(或小系统)来研究创造了条件。并给出了一些具体系统全局指数稳定性的简洁判据(其主要结果将载于“现代工程数学手册”第五卷)。(09.1/c-2)研究了自反巴拿赫空间中具有非线性扰动的抽象控制系统,扩展了过去一些作者获得的关于近似可控性的结果。
(09.1 / c-1) In this paper, we establish the comparison theorem of discrete systems defined by difference equations and derive a vector V function method similar to continuous systems, in order to simplify the problem of the stability of complex systems (or large systems) System (or small system) to create the conditions for the study. Some concise criteria for the global exponential stability of a specific system are given. The main results will be found in Volume 5 of the Handbook of Modern Engineering Mathematics. (09.1 / c-2) studied the abstract control system with nonlinear perturbations in the reflexive Banach space and extended the results obtained by some authors in the past about the approximate controllability.