Global asymptotic stabilization of stochastic feedforward nonlinear systems with input time-delay

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• 作者：Liang Liu ; Xuelian Li ; Huanqing Wang ; Ben Niu
• 关键词：Stochastic feedforward nonlinear systems ; Input time ; delay ; Globally asymptotically stable in probability ; Homogeneous domination idea
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：83
• 期：3
• 页码：1503-1510
• 全文大小：515 KB
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• 作者单位：Liang Liu (1)
  Xuelian Li (2)
  Huanqing Wang (2)
  Ben Niu (2)
  
  1. College of Engineering, Bohai University, Jinzhou, Liaoning Province, 121013, China
  2. College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning Province, 121013, China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

The state-feedback stabilization problem of stochastic feedforward nonlinear systems with input time-delay is considered in this paper. By using the homogeneous domination idea and choosing an appropriate Lyapunov–Krasovskii functional, the delay-independent state-feedback controller is explicitly constructed such that the closed-loop system is globally asymptotically stable in probability. A simulation example is provided to demonstrate the effectiveness of the proposed design method.