Stabilization of non-affine nonlinear systems via smooth state feedback

2002 ◽  
Author(s):  
Wei Lin
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Affine Nonlinear Systems ◽  
Smooth State

scholarly journals State-feedback stabilization for stochastic high-order nonlinear systems with a ratio of odd integers power

2010 ◽  
Vol 15 (1) ◽  
pp. 39-53 ◽  
Author(s):  
L. Liu ◽  
N. Duan
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
High Order ◽  
Feedback Stabilization ◽  
Asymptotically Stable ◽  
Globally Asymptotically Stable ◽  
Optimal Stabilization ◽  
Adding A Power Integrator ◽  
Power Integrator ◽  
Smooth State

This paper investigates the problem of globally asymptotically stable in probability by state-feedback for a class of stochastic high-order nonlinear systems with a ratio of odd integers power. By extending the adding a power integrator technique and choosing an appropriate Lyapunov function, a linear smooth state-feedback controller is explicitly constructed to render the system globally asymptotically stable in probability. Furthermore, we address the problem of state-feedback inverse optimal stabilization in probability. A simulation example is provided to show the effectiveness of the proposed approach.

Stabilization of discrete-time nonlinear systems by smooth state feedback

1993 ◽  
Vol 21 (3) ◽  
pp. 255-263 ◽  
Author(s):  
Christopher I. Byrnes ◽  
Wei Lin ◽  
Bijoy K. Ghosh
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Smooth State
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