Regular Papers

International Journal of Control, Automation and Systems 2023; 21(7): 2099-2111

Published online May 26, 2023

https://doi.org/10.1007/s12555-021-1069-x

© The International Journal of Control, Automation, and Systems

Input-to-state Consensus of Nonlinear Positive Multi-agent Systems Under State Feedback and Impulsive Control

Yi-Qing Xue and Ping Zhao*

Shandong Normal University

Abstract

This article investigates the input-to-state consensus (ISC) of nonlinear positive multi-agent systems (MAS). Firstly, using the max-separable input-to-state stability (ISS) Lyapunov function method, some sufficient conditions are given for the ISC of nonlinear positive MAS under state feedback and impulsive control. Based on these conditions, the multi-agent systems with a non-negative constant leader is considered, and then some sufficient conditions are also obtained for the ISC of the MAS under state feedback and impulsive control. Simulation examples verify the effectiveness of our results.

Keywords Impulsive control, input-to-state stability, multi-agent systems, positive systems, state feedback.

Article

Regular Papers

International Journal of Control, Automation and Systems 2023; 21(7): 2099-2111

Published online July 1, 2023 https://doi.org/10.1007/s12555-021-1069-x

Copyright © The International Journal of Control, Automation, and Systems.

Input-to-state Consensus of Nonlinear Positive Multi-agent Systems Under State Feedback and Impulsive Control

Yi-Qing Xue and Ping Zhao*

Shandong Normal University

Abstract

This article investigates the input-to-state consensus (ISC) of nonlinear positive multi-agent systems (MAS). Firstly, using the max-separable input-to-state stability (ISS) Lyapunov function method, some sufficient conditions are given for the ISC of nonlinear positive MAS under state feedback and impulsive control. Based on these conditions, the multi-agent systems with a non-negative constant leader is considered, and then some sufficient conditions are also obtained for the ISC of the MAS under state feedback and impulsive control. Simulation examples verify the effectiveness of our results.

Keywords: Impulsive control, input-to-state stability, multi-agent systems, positive systems, state feedback.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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