非线性系统全局稳定性分析研究

给出了一种分析非线性系统动态稳定性的方法－ＢＡＣＴＭ（Ｂｉｆｕｒｃａｔｉｏｎ Ａｎａｌｙｓｉｓ ａｎｄ Ｃａｔａｓｔｒｏｐｈｅ Ｔｈｅｏｒｙ Ｍｅｔｈｏｄｏｌｏｇｙ）法，并运用该方法对飞机在状态参数和操作参数组成的空间内的急滚机动全局稳定性进行了分析，导出了求解飞机滚转速率临界稳定值的一般解析式，证明了传统的临界滚转速率判据只是其中的一种特殊情况。

ANALYSIS AND STUDY OF GLOBAL STABILITY IN NONLINEAR SYSTEMS

Presented a methodology of analyzing global stability in nonlinear system -the bifurcation analysis and catastrophe theory methodology (BACTM), based on this method ,the aircraft global stability in rapid rolling maneuver in the state-control parameter space is studied . A general analytic formula for determining the critical rolling rate is derived. It indicates that the traditional critical rolling rate criterion is only a special case of the general analytic formula developed in this paper.