准线性系统的稳定性问题

对于一般系统，初始值由测量取得，因此，不可避免带有误差，这就要求当初始值有微小变化时，其解的变化也应任意小，这就是系统的稳定性问题．在实际问题中所建立的非线性系统模型应该能够在一定的条件下线性化，使得解决问题的方法简单化而不致超过允许误差．本文就这样的系统(即准线性系统)研究其稳定性，从而达到本质地反映系统的非线性性态、

RESEARCH ON THE STABLE QUALITY OF QUASI- LINEAR SYSTEM

Initial data are acquired by measuring for general system, so the error can not be avoided. The stability problem of system is that when original value changed, the change of its solution should be arbitrary minor. The nonlinear system pattern developed in the real work can be turned into linear one. Thus the method of solving the problem can be simplified and won't exceed the permitted error. This paper deals with this problem. Thereby, it naturally reflects the non-linear behavior of the system.