Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays
Jiashu Dai, Chuanhai Yang, Yan Xu, Jiuru Wang, Kongwei Zhu, Chengdong Yang
Abstract
This paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is constructed. Consensus of the leaderless PIDEMAS is analyzed by using a Lyapunov approach. Dealing with time-invariant delays and time-varying delays, two sufficient conditions for consensus of the leaderless PIDEMAS are respectively obtained in terms of LMIs. Two examples illustrate the effectiveness of developed theoretical results.
Topics & Concepts
Control theory (sociology)Nonlinear systemMulti-agent systemComputer scienceConsensusControl (management)Lyapunov functionLTI system theoryLinear systemMathematicsArtificial intelligenceMathematical analysisPhysicsQuantum mechanicsMathematical and Theoretical Epidemiology and Ecology ModelsMathematical Biology Tumor GrowthStability and Controllability of Differential Equations