Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays

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.INDEX TERMS consensus, multi-agent systems, LMIs, Lyapunov, partial integro-differential equations.

Adaptive Fault-Tolerant Control for Consensus of Nonlinear Fractional-Order Multi-Agent Systems with Diffusion

“…To better express the spatio-temporal characteristics, the system model is usually created by partial differential equations (PDEs). In 2022, Dai et al studied the consensus of semilinear parabolic MASs with time delay based on partial integral-differential equations [23]. In 2018, Yang et al studied the boundary control of distributed measurement for MASs based on PDEs [24].…”

Leaderless Consensus of Semilinear Hyperbolic Multiagent Systems with Semipositive or Seminegative Definite Convection

“…An iterative learning algorithm was proposed for the consensus of multiagent system PDEMASs [21]. Yang et al proposed several control methods for the consensus of semilinear PDEMASs or partial integrodi erential equation-based MASs without and with time delays [22][23][24]. Several iterative learning methods were studied for the consensus of PDEMASs [21,[25][26][27].…”