Behaviour of fractional discrete-time consensus models with delays for summator dynamics

摘要

The leader-following consensus problem of fractional-order multi-agent discrete-time systems with delays is considered.In the systems,interactions between agents are defined like in Krause and Cucker-Smale models,but the memory is included by taking both the fractional-order discrete-time operator on the left hand side of the nonlinear systems and the delays.Since in practical problems only bounded number of delays can be considered,we study the fractional order discrete-time models with a finite number of delays.The models of opinions under consideration are investigated for single-and double-summator dynamics of discrete-time by means of analytical methods as well as computer simulations.