Distributed asynchronous impulsive consensus of one-sided Lipschitz nonlinear multi-agent systems
Corresponding Author
Tiedong Ma
Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and School of Automation, Chongqing University, Chongqing, China
Correspondence Tiedong Ma, Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and School of Automation, Chongqing University, Chongqing 400044, China.
Email: [email protected]
Search for more papers by this authorZhengle Zhang
Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and School of Automation, Chongqing University, Chongqing, China
Search for more papers by this authorBing Cui
School of Automation, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorCorresponding Author
Tiedong Ma
Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and School of Automation, Chongqing University, Chongqing, China
Correspondence Tiedong Ma, Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and School of Automation, Chongqing University, Chongqing 400044, China.
Email: [email protected]
Search for more papers by this authorZhengle Zhang
Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, and School of Automation, Chongqing University, Chongqing, China
Search for more papers by this authorBing Cui
School of Automation, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorAbstract
This article investigates the consensus problem of one-sided Lipschitz nonlinear multi-agent systems (MASs) with distributed asynchronous impulsive control protocol. Based on the theory of discontinuous Lyapunov stability and impulsive differential equation, some new sufficient criteria about asynchronous impulsive control are derived to guarantee the consensus of one-sided Lipschitz nonlinear MASs. Different from the existing methods of synchronous impulsive control, the asynchronous impulsive control does not need all agents are controlled simultaneously at one impulsive instant. Compared with the traditional Lipschitz condition, the one-sided Lipschitz nonlinear function considered in this article can obtain a wider nonlinear range. Finally, some numerical simulation examples are given to verify the correctness of the theoretical analysis.
CONFLICT OF INTEREST
The authors declare no potential conflict of interest.
Open Research
DATA AVAILABILITY STATEMENT
The data that support the findings of this study are available from the corresponding author upon reasonable request.
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