Conditions for consensus of multi-agent systems with time-delays and uncertain switching topology
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Universidade Federal de Minas Gerais
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This paper proposes a new approach for the analysis of consensus of multi-agent systems subject to time-varying delayed control inputs and switching topology. The main contribution is a condition for consensus for a networked system based on linear matrix inequalities that takes into account the joint effect of time-varying delays and switching network topology. Topology changes are modeled using Markov jumps with uncertain rates of transitions. A practical example is shown to illustrate the main result in various scenarios.
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Processo decisório -- Modelos matemáticos, Matrizes (Matemática)
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Multi-agent systems , Topology , Switches , Delays , Network topology , Protocols , Time-varying systems, Multi-agent Systems , Switching Topologies , Consensus Of Multi-agent Systems , Consensus Conditions , Network Topology , Control Input , Topological Changes , Linear Matrix Inequalities , Time-varying Delays , Consensus Analysis , Markov Chain , Information Exchange , Optimal Control , Linear System , Communication Channels , Time Derivative , Positive Definite Matrix , Distributed Control , Laplacian Matrix , Linear Dynamics , Consensus Protocol , Continuous-time Markov Chain , Linear Matrix Inequality Conditions , Worst-case Complexity , Jensen’s Inequality , Agent Interactions , Formation Flight , Time-invariant Model , Stochastic Switching
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https://ieeexplore.ieee.org/document/7337435