MMN-2704

Emergence of consensus of multi-agents systems on time scales

  • Ewa Schmeidel, University of Bialystok, Institute of Mathematics, 1M Ciolkowskiego St., 15245 Bialystok, Poland, eschmeidel@math.uwb.edu.pl
  • Urszula Ostaszewska, University of Bialystok, Institute of Mathematics, 1M Ciolkowskiego St., 15245 Bialystok, Poland, uostasze@math.uwb.edu.pl
  • Malgorzata Zdanowicz, University of Bialystok, Institute of Mathematics, 1M Ciolkowskiego St., 15245 Bialystok, Poland, mzdan@math.uwb.edu.pl

Abstract

In this paper an emergence of leader-following consensus on arbitrary time scales is investigated. It means that the step size is not necessarily constant but it is a function of time. We propose and prove conditions ensuring a leader-following consensus for discrete time scales. The presented results are illustrated by numerical examples.


Vol. 20 (2019), No. 2, pp. 1201-1214
DOI: 10.18514/MMN.2019.2704


Download: MMN-2704