随机非线性时滞系统输入-状态和输入-输出稳定性(英文)  

On input-to-state and input-output stability of stochastic nonlinear retarded systems

作　　者：翟弟华[1] 康宇[1] 赵平[2] 孟浩飞[1] 

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027 [2]济南大学自动化与电气工程学院,山东济南250022

出　　处：《中国科学技术大学学报》2013年第1期15-23,共9页JUSTC

基　　金：Supported by the National Natural Science Foundation of China(60935001,61174061,60904024 and 60934006);the Anhui Provincial Natural Science Foundation(11040606M143);the Doctoral Foundation of University of Jinan(XBS1012);the Fundamental Research Funds for the Central Universities;the Program for New Century Excellent Talents in University;the Program for Youth Innovation Promotion Association,CAS

摘　　要：考虑了带Markovian跳跃参数的随机非线性时滞系统的依概率和依p阶矩的输入-状态、输入-输出稳定性问题.利用Lyapunov-Krasovskii方法,分别给出了依概率和依p阶矩下输入-状态和输入-输出稳定的充分性判据.最后通过一个仿真实例验证了所给出的结论的有效性.The properties of input-to-state/input-output stability （ISS/IOS） in probability and in pth moment for stochastic nonlinear retarded systems with Markovian jump parameters were considered. Based on the Lyapunov-Krasovskii method, the sufficient criteria were developed. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.

关 键 词：输入-状态 输入-输出稳定性 随机系统 时延 Markovian跳跃参数 Lyapunov-Krasovskii方法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]