一类扰动系统的指数稳定性问题

On the Exponentially Stable Character of Perturbed System at the Point of Equilibrium

主要讨论了一类扰动系统的指数稳定性问题 .若扰动项的控制函数满足无穷可积、 L2 可积或者 Lp可积时 ,x =0是常系统的指数稳定点 ,则也是扰动系统的指数稳定点 .推广和丰富了 Khalil[1]

We generalize the perturbed system for the case when the origin of normal system is exponential stable . The main result of this paper is that the γ(t) satisfies different conditions, rather than γ(t) itself, the vanishing perturbed system is exponential stable.