scholarly journals Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Xian Liu ◽  
Jiajia Du ◽  
Qing Gao
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Frequency Domain ◽  
Time Domain ◽  
Absolute Stability ◽  
Lyapunov Method ◽  
Lur’E Systems ◽  
Kyp Lemma

The problem of absolute stability of Lur’e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results.

Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control

2009 ◽  
Vol 40 (2) ◽  
pp. 848-861 ◽  
Author(s):  
Zhisheng Duan ◽  
Jinzhi Wang ◽  
Ying Yang ◽  
Lin Huang
Keyword(s):  
Nonlinear Systems ◽  
Frequency Domain ◽  
Time Domain ◽  
Chaos Control

Stability Analysis of Control Systems with the Asymmetric Controllers using Frequency Domain Criterion

1970 ◽  
Vol 111 (5) ◽  
pp. 63-66 ◽  
Author(s):  
V. Zlosnikas ◽  
A. Baskys ◽  
V. Gobis
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Frequency Domain ◽  
Control Systems ◽  
Dynamic Systems ◽  
Simulation Software ◽  
Nonlinear Element ◽  
The Stability ◽  
The One ◽  
Systems Simulation

The stability of control systems with the linear plants using asymmetric Proportional and Proportional-asymmetric Integral controllers is analyzed in this work. The methods of nonlinear systems stability analysis based on the frequency domain criterion proposed by Popov and modified by the Cho and Narendra were employed. They are dedicated for the systems with the one nonlinear element. The investigation has been performed using Off-Axis and Circle criterions by employing graphical-analytical analysis methods, which were realized using software Mathcad. The obtained analysis results were verified using dynamic systems simulation software Matlab/Simulink. Ill. 6, bibl. 13 (in English; abstracts in English and Lithuanian).http://dx.doi.org/10.5755/j01.eee.111.5.358

scholarly journals Stability analysis of Lur’e systems with a pulse-modulated feedback

2019 ◽  
pp. 58-68 ◽  
Author(s):  
Alexander N. Churilov
Keyword(s):  
Stability Analysis ◽  
Nonlinear System ◽  
Absolute Stability ◽  
Averaging Method ◽  
Finite Width ◽  
Lur’E Systems ◽  
Circle Criterion

A nonlinear system with a sector bound nonlinearity is considered. The system is subject to a stabilizing sampled feedback with finite width impulses. An impulsive counterpart of the circle criterion for absolute stability is obtained with the help of the Gelig’s averaging method.

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