Local Synchronization of Directed Lur'e Networks With Coupling Delay via Distributed Impulsive Control Subject to Actuator Saturation

2022 ◽  
pp. 1-11
Author(s):  
Xiaoxiao Lv ◽  
Jinde Cao ◽  
Xiaodi Li ◽  
Yiping Luo
Keyword(s):  
Control Subject ◽  
Actuator Saturation ◽  
Impulsive Control ◽  
Coupling Delay ◽  
Local Synchronization

scholarly journals Optimal Distributed Controller Design for Nonlinear Coupled Dynamical Networks

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Hao Zhang ◽  
Huaicheng Yan ◽  
Qijun Chen
Keyword(s):  
Controller Design ◽  
Impulsive Control ◽  
Exponential Synchronization ◽  
Matrix Inequalities ◽  
Control Effort ◽  
Dynamical Networks ◽  
Nonlinear Dynamical ◽  
Coupling Delay ◽  
Distributed Controller ◽  
Coupling Strengths

This paper is concerned with the optimal distributed impulsive controller design for globally exponential synchronization of nonlinear dynamical networks with coupling delay. By the Lyapunov-Razumikhin method, a novel criterion is proposed to guarantee the global exponential synchronization of the coupled delayed network with distributed impulsive control in terms of matrix inequalities. The sum of coupling strengths of the distributed impulsive control is minimized to save the control effort. Finally, the effectiveness of the proposed method has been demonstrated by some simulations.

scholarly journals Time-delayed impulsive control for discrete-time nonlinear systems with actuator saturation

2019 ◽  
Vol 24 (5) ◽  
Author(s):  
Liangliang Li ◽  
Chuandong Li ◽  
Wei Zhang
Keyword(s):  
Dynamical Systems ◽  
Discrete Time ◽  
Actuator Saturation ◽  
Impulsive Control ◽  
Sufficient Conditions ◽  
Control Input ◽  
Transmission Delays ◽  
Input Variables ◽  
Discrete Time Dynamical Systems ◽  
Delayed Impulsive Control

This paper focuses on the problem of time-delayed impulsive control with actuator saturation for discrete-time dynamical systems. By establishing a delayed impulsive difference inequality, combining with convex analysis and inequality techniques, some sufficient conditions are obtained to ensure exponential stability for discrete-time dynamical systems via time-delayed impulsive controller with actuator saturation. The designed controller admits the existence of some transmission delays in impulsive feedback law, and the control input variables are required to stay within an availability zone. Several numerical simulations are also given to demonstrate the effectiveness of the proposed results. 

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