一类非线性系统的稳定性

Stability in a class of nonlinear system

研究了一类非线性系统的输入输出稳定性问题 ,这类系统的特点是其模型为系统输出的拟线性函数 .对非线性确定性系统 ,利用稳定性的线性等价原理 ,提出了这一类非线性系统的稳定性判据 ;对非线性随机系统 ,给出了m阶均值意义下的稳定性定义 ,提出了一种二阶均值下的输入输出稳定性条件 ,给出了几个示例说明 .

The input output stability in a class of nonlinear system was studied which was characteristic of linear in the output variable. As to nonlinear determined system, a criterion was presented in light of the linear equivalent stability principle; the m th mean stability nonlinear stochastic system was defined and the criterion for the input output stability with second order mean was derived. Several examples were illustrated.