Design of coupling strengths for consensus with time-varying delays
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Universidade Federal de Minas Gerais
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This paper proposes a method to design the coupling strengths in a multi-agent system in order to achieve consensus in arbitrary directed networks in the presence of input time-varying delays. A model transformation is carried out to convert the consensus problem into a stability one. Then, based on an appropriate Lyapunov-Krasovskii functional, sufficient conditions for consensus in multi-agent systems are derived, where the coupling strengths are given as variables of Linear Matrix Inequalities (LMI). The designed coupling strengths may enable consensus and also meet a specified convergence rate. Numerical simulations are provided to demonstrate the effectiveness of the proposed results.
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Sistemas de controle digital, Equações diferenciais - Equações com retardamento
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Couplings , Delays , Multi-agent systems , Laplace equations , Convergence , Stability analysis , Network topology, Coupling Constant , Time-varying Delays , Numerical Simulations , Convergence Rate , Multi-agent Systems , Presence Of Network , Linear Matrix Inequalities , Directed Networks , Consensus Of Multi-agent Systems , Arbitrary Network , Consensus Conditions , Eigenvalues , Communication Network , Network Topology , Control Input , Root Node , Directed Graph , Stability Problem , Laplacian Matrix , Alternative Representation , Linear Matrix Inequality Conditions , Consensus Protocol , Input Delay
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https://ieeexplore.ieee.org/document/8062654