Nonlinear Systems and the Frequency Domain Representations

2021 ◽  
pp. 15-29
Author(s):  
Yunpeng Zhu
Keyword(s):  
Nonlinear Systems ◽  
Frequency Domain

Fuzzy fault detection of conic-type nonlinear systems within the finite frequency domain

2020 ◽  
Vol 378 ◽  
pp. 125181
Author(s):  
Jiancheng Wang ◽  
Shuping He ◽  
Xiaoli Luan ◽  
Fei Liu
Keyword(s):  
Nonlinear Systems ◽  
Fault Detection ◽  
Frequency Domain ◽  
Finite Frequency

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.

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