Exponential Consensus of The Stochastic Multi-Agent System by Means of Non-Fragilesampled Data Control with Markovian Leaping Parameters Under Switched Directedgraph

Abstract

This work addresses the issue of achieving exponential consensus in a stochastic multi-

agent system with a leader, utilizing a non-fragile sample data control approach. The proposed system

incorporates a Markovian jumping parameter, and a directed graph with two switches represents the

communication between agents. The leader agent assumes the role of guiding the other agents in

the system. The linear matrix inequality format is derived by generating an appropriate Lyapunov

Krasovskii functional for the stated system, using the implementation of integral inequality. Numerical examples are provided to demonstrate the efficiency of the specified method.