【作者】 汪志鸣； 戴浩晖；

【Author】 Wang Zhiming, Dai Haohui (Department of Mathematics, East China Normal University, Shanghai 200062)

【机构】 华东师范大学数学系；

【摘要】 本文给出小增益增长条件使得在此条件下快慢子系统的渐近稳定性能够保证原奇摄动系统的渐近稳定性。并进一步给出估计摄动参数的稳定界的定量表示以及讨论其它情形。更多还原

【Abstract】 In this paper, a small gain growth condition is presentde under which asymptotic stability of nonlinear singularly perturbed systems is guaranteed by the asymptotic stability of its fast and slow sub-systems. Moreover, an explicit and closed form of stability bound on perturbation parameter is provided and some other cases are also discussed.更多还原