A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol

This paper deals with multi-agent systems that, due to using the generalized proportional Caputo fractional derivative, possess memories. The information exchange between agents does not occur continuously but only at fixed given update times, and lower limit of derivative changes according times. Two types are studied, namely without a leader leader. For model linear dynamic systems, sufficient conditions for exponential stability via impulsive control obtained. In case presence in system, we derive leader-following consensus based on leader’s influence. Simulation results provided verify essential role realizing systems.