scholarly journals Asymptotic stability of nonlinear systems with holomorphic structure

2003 ◽  
Author(s):  
W.P. Dayawansa ◽  
C.F. Martin
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Holomorphic Structure

scholarly journals Globally Asymptotic Stability of Stochastic Nonlinear Systems by the Output Feedback

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Wenwen Cheng ◽  
Quanxin Zhu ◽  
Zhangsong Yao
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Output Feedback ◽  
Design Method ◽  
Output Feedback Control ◽  
Stochastic Nonlinear Systems ◽  
Closed Loop System ◽  
Globally Asymptotically Stable ◽  
Globally Asymptotic Stability ◽  
Dynamic Output Feedback Controller

We address the problem of the globally asymptotic stability for a class of stochastic nonlinear systems with the output feedback control. By using the backstepping design method, a novel dynamic output feedback controller is designed to ensure that the stochastic nonlinear closed-loop system is globally asymptotically stable in probability. Our way is different from the traditional mathematical induction method. Indeed, we develop a new method to study the globally asymptotic stability by introducing a series of specific inequalities. Moreover, an example and its simulations are given to illustrate the theoretical result.

Evolved Fuzzy NN Control for Discrete-Time Nonlinear Systems

2019 ◽  
Vol 29 (01) ◽  
pp. 2050015 ◽  
Author(s):  
Tim Chen ◽  
A. Babanin ◽  
Assim Muhammad ◽  
B. Chapron ◽  
C. Y. J. Chen
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Fuzzy Neural Network ◽  
Bat Algorithm ◽  
Linear Matrix ◽  
Rule Base ◽  
Sufficiency Condition ◽  
Fuzzy Neural ◽  
Linear Differential

To guarantee the asymptotic stability of discrete-time nonlinear systems, this paper proposes an Evolved Bat Algorithm (EBA) fuzzy neural network (NN) controller. In the evolved fuzzy NN modeling, an NN model and linear differential inclusion (LDI) representation are established for arbitrary nonlinear dynamics. This representation is constructed by the use of sector nonlinearity to convert a nonlinear model to the multiple rule base of the linear model, and a new sufficiency condition to guarantee asymptotic stability in the Lyapunov function is implemented in terms of linear matrix inequalities. The proposed method is an enhancement of existing methods which produces good results.

New Asymptotic Stability Criterions for Nonlinear Systems in Critical Cases

1997 ◽  
Vol 30 (21) ◽  
pp. 37-41
Author(s):  
Liu Xiangdong ◽  
Fang Bo ◽  
Huang Wenhu
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability
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