Preprint 117/2014

Local pinning of networks of multi-agent systems with transmission and pinning delays

Wenlian Lu and Fatihcan M. Atay

Contact the author: Please use for correspondence this email.
Submission date: 29. Dec. 2014 (revised version: October 2015)
Pages: 13
published in: IEEE transactions on automatic control, 61 (2016) 9, p. 2657-2662 
DOI number (of the published article): 10.1109/TAC.2015.2508883
Keywords and phrases: Control, Consensus, pinning, delay
Download full preprint: PDF (1916 kB)

We study the stability of networks of multi-agent systems with local pinning strategies and two types of time delays, namely the transmission delay in the network and the pinning delay of the controllers. Sufficient conditions for stability are derived under specific scenarios by computing or estimating the dominant eigenvalue of the characteristic equation. In addition, controlling the network by pinning a single node is studied. Moreover, perturbation methods are employed to derive conditions in the limit of small and large pinning strengths. Numerical algorithms are proposed to verify stability, and simulation examples are presented to confirm the efficiency of analytic results.

18.10.2019, 02:15