$H_{\infty}$ Consensus of Linear Multi-Agent Systems With Semi-Markov Switching Network Topologies and Measurement Noises

Meiyan Cong, Xiaowu Mu · IEEE Access · 2019

This paper investigates the H ∞ consensus of linear multi-agent systems with semi-Markov switching network topologies and measurement noises.The information that each agent measures its neighbors's has multiplicative noises.The switching of the network topologies are modeled by a semi-Markov process.Taking the external disturbance into account, H ∞ consensus of multi-agent systems with multiplicative noises is achieved under semi-Markov switching network topologies by using semi-Markov jump theory, stochastic theory and algebraic graph theory.Finally, simulation example is provided to illustrate the effectiveness of the theoretical results.

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