scholarly journals Exponential stability analysis of nonlinear systems with bounded gain error

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Xingkai Hu ◽  
Linru Nie
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Exponential Stability ◽  
Impulsive Control ◽  
Practical Application ◽  
Chua’S Oscillator ◽  
Gain Error ◽  
Switched Control

AbstractConsidering technology limitation or device restriction in practical application, we formulate new nonlinear systems with bounded gain error, which contain switched control and impulsive control. We then investigate the exponential stability of the considered systems. Finally, the effectiveness of the proposed criteria is confirmed via an example based on Chua’s oscillator.

ON IMPULSIVE CONTROL AND ITS APPLICATION TO CHEN'S CHAOTIC SYSTEM

2002 ◽  
Vol 12 (05) ◽  
pp. 1191-1197 ◽  
Author(s):  
ZHI-HONG GUAN ◽  
RUI-QUAN LIAO ◽  
FENG ZHOU ◽  
HUA O. WANG
Keyword(s):  
Nonlinear Systems ◽  
Exponential Stability ◽  
Chaotic System ◽  
Control Method ◽  
Impulsive Control ◽  
Asymptotical Stability ◽  
Impulsive Systems ◽  
Chaotic State ◽  
Chaos Suppression ◽  
Zero Equilibrium

In this paper, impulsive control of nonlinear systems and its application to Chen's chaotic system are considered. A new impulsive control method for chaos suppression, using Chen's system as an example, is developed. Some new general criteria for exponential stability and asymptotical stability of nonlinear impulsive systems are established and, particularly, some simple conditions sufficient for driving the chaotic state of Chen's system to its zero equilibrium are presented.

scholarly journals Impulsive control of nonlinear systems with impulse time window and bounded gain error

2018 ◽  
pp. 40-49 ◽  
Author(s):  
Limin Zou ◽  
◽  
Yang Peng ◽  
Yuming Feng ◽  
Zhengwen Tu ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Impulsive Control ◽  
Time Window ◽  
Gain Error

scholarly journals Stability Analysis for Nonlinear Impulsive Control System with Uncertainty Factors

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Zemin Ren ◽  
Shiping Wen ◽  
Qingyu Li ◽  
Yuming Feng ◽  
Ning Tang
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Parameter Uncertainty ◽  
Impulsive Control ◽  
Schwarz Inequality ◽  
Sufficient Condition ◽  
Uncertainty Factors ◽  
Numerical Example ◽  
Gain Error ◽  
The Stability

Considering the limitation of machine and technology, we study the stability for nonlinear impulsive control system with some uncertainty factors, such as the bounded gain error and the parameter uncertainty. A new sufficient condition for this system is established based on the generalized Cauchy–Schwarz inequality in this paper. Compared with some existing results, the proposed method is more practically applicable. The effectiveness of the proposed method is shown by a numerical example.

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