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分数阶时滞微分系统的滑模控制(英文)
引用本文:司家芳,蒋威. 分数阶时滞微分系统的滑模控制(英文)[J]. 数学季刊, 2012, 0(1): 117-122
作者姓名:司家芳  蒋威
作者单位:School of Mathematical Science,Anhui University
基金项目:Supported by the National Nature Science Foundation of China(10771001);Supported by the Special Research Fund for the Doctoral Program of the Ministry of Education of China(20093401110001);Supported by the Major Programs of Natural Science Research in Anhui Universities(KJ2010ZD02);Supported by the the Program of Natural Science Research in Anhui Universities(KJ2010B076)
摘    要:The problem of sliding mode control for fractional differential systems with statedelay is considered.A novel sliding surface is proposed and a controller is designed correspondingly,such that the state starting from any initial value will move toward the switching surface and reach the sliding surface in finite time and the state variables on the sliding surface will converge to equilibrium point.And the stability of the proposed control design is discussed.

关 键 词:sliding mode control  fractional differential system  time-delay

Sliding Mode Control for Fractional Differential Systems with State-delay
SI Jia-fang,JIANG Wei. Sliding Mode Control for Fractional Differential Systems with State-delay[J]. Chinese Quarterly Journal of Mathematics, 2012, 0(1): 117-122
Authors:SI Jia-fang  JIANG Wei
Affiliation:(School of Mathematical Science,Anhui University,Hefei 230039,China)
Abstract:The problem of sliding mode control for fractional differential systems with statedelay is considered.A novel sliding surface is proposed and a controller is designed correspondingly,such that the state starting from any initial value will move toward the switching surface and reach the sliding surface in finite time and the state variables on the sliding surface will converge to equilibrium point.And the stability of the proposed control design is discussed.
Keywords:sliding mode control  fractional differential system  time-delay
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