不确定模糊动态系统的二次稳定性研究

Quadratic stabilization research of an uncertain fuzzy dynamic system

研究了连续不确定模糊模型的二次稳定性,这种不确定的模糊模型被用来表示一类不确定的连续的复杂的非线性系统,该系统既包括语言信息又包括系统的不确定性。本文还证明了:如果一个合适的Riccati方程或者一个Riccati方程的集合有解的话,那么该不确定模糊动态系统是二次稳定的。

Quadratic stabilization of a continuous uncertain fuzzy dynamic system is discussed in this paper. This uncertain fuzzy dynamic model is used to represent a class of uncertain continuous complex non - linear systems which include both linguistic information and system uncertainties. It is shown that the uncertain fuzzy dynamic system can be stabilized if a suitable Riccati equation or a set of Riccati equations has solutions.