Semi-global stabilization of minimum phase nonlinear systems in special normal form via linear high-and-low-gain state feedback

1994 ◽  
Vol 4 (3) ◽  
pp. 353-362 ◽  
Author(s):  
Zongli Lin ◽  
Ali Saberi
Keyword(s):  
Nonlinear Systems ◽  
Normal Form ◽  
State Feedback ◽  
Global Stabilization ◽  
Minimum Phase

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.

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