Global stabilization via time-varying output-feedback for stochastic nonlinear systems with unknown growth rate

2015 ◽  
Vol 77 ◽  
pp. 69-79 ◽  
Author(s):  
Fengzhong Li ◽  
Yungang Liu
Keyword(s):  
Growth Rate ◽  
Nonlinear Systems ◽  
Output Feedback ◽  
Stochastic Nonlinear Systems ◽  
Time Varying ◽  
Global Stabilization

Global stabilization for switched stochastic nonlinear systems via unbounded time-varying scaling

2017 ◽  
Vol 40 (7) ◽  
pp. 2270-2277 ◽  
Author(s):  
Zhibao Song ◽  
Junyong Zhai ◽  
Zhengwei Zhu
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Switched System ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Time Varying ◽  
Global Stabilization ◽  
Asymptotically Stable ◽  
Control Scheme

This paper is concerned with the problem of global stabilization for switched stochastic nonlinear systems under arbitrary switchings. Based on the unbounded time-varying scaling of states, we design a state feedback controller to render the closed-loop switched system asymptotically stable in probability. Two examples are given to demonstrate the effectiveness of the proposed control scheme.

scholarly journals Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Mingzhu Song ◽  
Wenwen Cheng ◽  
Quanxin Zhu ◽  
Hongwei Zhou ◽  
Hui Wang
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Lyapunov Theory ◽  
Stochastic Nonlinear Systems ◽  
Time Varying ◽  
Globally Asymptotically Stable ◽  
Globally Asymptotic Stability ◽  
Theoretical Results

We address the problem of globally asymptotic stability for a class of stochastic nonlinear systems with time-varying delays. By the backstepping method and Lyapunov theory, we design a linear output feedback controller recursively based on the observable linearization for a class of stochastic nonlinear systems with time-varying delays to guarantee that the closed-loop system is globally asymptotically stable in probability. In particular, we extend the deterministic nonlinear system to stochastic nonlinear systems with time-varying delays. Finally, an example and its simulations are given to illustrate the theoretical results.

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