Leader-following consensus considering effects of agents on each other via impulsive control: A topology dependent average dwell time approach |
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| Affiliation: | 1. Department of Electrical and Computer Engineering, University of Kashan, Iran;2. Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran;1. Collegee of Science, Hebei North University, Zhangjiakou, 075000, PR China;2. School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, 221116, PR China;1. Northwestern Polytechnical University, School of Automation, 1 Dongxianglu, Xi''an 710129, China;2. Key Lab of Information Fusion Technology (Ministry of Education);1. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China;2. Institute of Automation, Qufu Normal University, Qufu 273165, PR China;1. College of Control Science and Engineering, Bohai University, Jinzhou 121013, China;2. College of Mathematics, Bohai University, Jinzhou 121013, China;1. CRIStAL, UMR CNRS 9189, Centrale Lille Institut, Villeneuve dAscq, France;2. Institut de Robòtica i Informàtica Industrial (CSIC-UPC) Carrer Llorens Artigas, 4-6, 08028 Barcelona;3. IBISC Laboratory, Univ Evry, Paris-Saclay University, Evry, France;1. School of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, China;2. National and Local Joint Engineering Research Center of Satellite Navigation Positioning and Location Service, Guilin 541004, China;3. School of Information Technology, Deakin University, Waurn Ponds, Victoria 3216, Australia |
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| Abstract: | This paper intends to investigate the consensus problem of a nonlinear multi-agent system with new nonlinear terms added to the dynamics of each agent in the leader-following framework with impulsive control. The main contribution of this paper is introducing these new terms expressing the effect of each agent on neighbor agents. The new terms called effect terms (ETs) are considered with time-varying delay. Moreover, the communication interactions among all agents are addressed by a set of consensusable and unconsensusable switching topologies. In particular, the topology-dependent average dwell time (TDADT), one of the significant practical analysis methods for switched systems, has been calculated for each topology. The globally uniformly exponentially stability (GUES) for the consensus error dynamics is analyzed by employing algebraic graph theory and a multiple discontinuous Lyapunov function approach (MDLF) regarding separate Lyapunov functions for impulse instants. Furthermore, sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that consensus can be achieved. Finally, the effectiveness of the theoretical analysis is corroborated by a numerical example. |
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