一类分数阶非线性系统的输入输出到状态稳定性分析  

Input-output-to-state stability analysis for one class of the fractional order nonlinear system

作　　者：高扬[1] 赵微[1] 

机构地区：[1]大庆师范学院教师教育学院,黑龙江大庆163712

出　　处：《东北石油大学学报》2016年第3期118-122,共5页Journal of Northeast Petroleum University

基　　金：大庆市科技计划项目(szdfy-2015-63);大庆师范学院博士启动基金项目(12ZR09)

摘　　要：基于Mittag-Leffler型稳定和整数阶非线性系统的输入到状态稳定理论,在Caputo分数阶导数意义下,对于导数阶数在0到1开区间的分数阶非线性系统,给出全新的输入输出到状态稳定定义,进而建立非线性系统实现输入输出到状态稳定的Lyapunov定理。举例证明该理论的正确性和实用性。Based on Mittag-Leffler stability theory and input-to-state stability theory for the integer order system,the new input-output-to-state stability definition is given for the fractional order nonlinear System with Caputo-type fractional derivative where the order of the derivative is in the interval.Furthermore,the new input-output-to-state stability Lyapunov theorem is constructed.Finally,an example is given to explain the validity and practicability of the new theory.

关 键 词：Caputo型导数 分数阶导数 输入输出到状态稳定 Mittag-Leffler型稳定 

分 类 号：O175.6[理学—数学]