Hassan Dehghani Aghbolagh - Department of Electrical and Computer Engineering University of Tabriz Tabriz, Iran
Elham Ebrahimkhani - Department of Electrical and Computer Engineering University of Tabriz Tabriz, Iran
Amir Rikhtegar Ghiasi - Department of Electrical and Computer Engineering University of Tabriz Tabriz, Iran

In recent years, multi-agent systems have drawn a lot of attention. Consensus problem of these systems has been extensively studied in the past decade. However, in a recentpaper, the concept of scaled consensus was introduced. Unlike conventional consensus, agents reach different initial-statedependentvalues. On the other hand, time delay is an important issue in networks of agents; hence, this paper introduces timevaryingdelay to the scaled consensus problem. Moreover, a Lyapunov-Krasovskii approach is adopted to check the stability of the system. The allowable delay value is computed using the resultant LMIs. In order to validate our findings, a numerical example is provided.

multi-agent systems; scaled consensus; time-delay