# American Institute of Mathematical Sciences

January  2018, 23(1): 347-357. doi: 10.3934/dcdsb.2018023

## Optimal control of the discrete-time fractional-order Cucker-Smale model

 1 Faculty of Computer Science, Bialystok University of Technology, 15-351 Bia lystok, Poland 2 Department of Mathematics and Mathematical Economics, Warsaw School of Economics, 02-554 Warsaw, Poland

* Corresponding author: a.malinowska@pb.edu.pl

Received  September 2016 Revised  November 2016 Published  January 2018

We obtain necessary optimality conditions for the discrete-time fractional-order Cucker-Smale optimal control problem. By using fractional order differences on the left side of nonlinear system we introduce memory effects to the considered problem.

Citation: Agnieszka B. Malinowska, Tatiana Odzijewicz. Optimal control of the discrete-time fractional-order Cucker-Smale model. Discrete & Continuous Dynamical Systems - B, 2018, 23 (1) : 347-357. doi: 10.3934/dcdsb.2018023
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Consensus parameters with using control
Consensus parameters without control
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