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工程技术实际问题中,如运动系统,自动控制系统等,往往提出这样的问题,如何设计一个稳定的系统;设计的系统在什么条件下稳定;什么条件下不稳定等等。这类问题叫判稳问题。从纯碎数学观点,自现代稳定性理论奠基人Liapunov的论文发表后[9],一直到现在国内外进行深入的研究,取得了一系列重要结果。但从数值数学观点来看,至今未
Engineering practical problems, such as sports systems, automatic control systems, often ask such questions, how to design a stable system; under what conditions the design of the system is stable; under what conditions, such as instability and so on. This kind of problem is called the judgment of stability. From purely mathematical point of view, since the publication of Liapunov’s paper [9], the founder of modern stability theory, it has been studied in depth both at home and abroad and achieved a series of important results. But from a mathematical point of view, so far