部分状态非线性系统稳定性分析

A Analysis of Stability for Systems with Partially Non Linear States

应用一类连续可导的Ｌｙａｐｕｎｏｖ函数，提出了带部分非线性状态的动态系统，在平衡点ｘｅ＝０为全局渐近稳定的充分条件，并利用Ｌｙａ－ｐｕｎｏｖ函数的二乘形式，得到了判别系统稳定的充分必要条件．

By applying a class of continual and derivable Lyapunov function,a sufficient condition for dynamic systems with partially non linear states,which are globally asymptotically stable at the equilibrium point x e =0,is proposed.And making use of a quatratic form of Lyapunov function,a sufficient and necessary condition to examine the stability of the systems is attained. [