Distributed adaptive consensus protocols for linearly coupled Lur'e systems over a directed topology

2017 ◽  
Vol 11 (15) ◽  
pp. 2465-2474 ◽  
Author(s):  
Yuting Feng ◽  
Yuezu Lv ◽  
Zhisheng Duan
Keyword(s):  
Lur’E Systems ◽  
Directed Topology

Some simple criteria for pinning a Lur’e network with directed topology

2014 ◽  
Vol 8 (2) ◽  
pp. 131-138 ◽  
Author(s):  
Qiang Song ◽  
Jinde Cao ◽  
Fang Liu ◽  
Jianquan Lu
Keyword(s):  
Directed Topology

scholarly journals Repetitive Set-based Learning Robust Predictive Control for Lur’e Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 7117-7122
Author(s):  
Hoang Hai Nguyen ◽  
Bruno Morabito ◽  
Rolf Findeisen
Keyword(s):  
Predictive Control ◽  
Lur’E Systems ◽  
Robust Predictive Control

A Global Synchronization Theorem for a Class of Chaotic Systems

1998 ◽  
Vol 08 (06) ◽  
pp. 1363-1369 ◽  
Author(s):  
Xiao Fan Wang ◽  
Zhi Quan Wang
Keyword(s):  
Chaotic Systems ◽  
Drive System ◽  
Chaotic Oscillator ◽  
Error Feedback ◽  
Global Synchronization ◽  
Lur’E Systems ◽  
State Variable ◽  
Chaotic Lur’E Systems ◽  
Driving Signal

This Letter proposes a new synchronization theorem for a subclass of chaotic Lur'e systems. We take a specific state variable of the drive system as the driving signal. We prove that globally synchronization can be attained via the simple linear error feedback. The approach is illustrated using Chua's chaotic oscillator and a hyperchaotic oscillator.

scholarly journals Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type

2012 ◽  
Vol 2012 ◽  
pp. 1-18
Author(s):  
W. Weera ◽  
P. Niamsup
Keyword(s):  
Neutral Type ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Lur’E Systems ◽  
Interval Time ◽  
Delay Function ◽  
Time Varying Delay ◽  
Bounded Nonlinearity ◽  
Varying Delay

This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov-Krasovskii functional combined with Leibniz-Newton’s formula, we establish some stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results.

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