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: 36
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: 2012
: . . / . 36. .: , 2012. .8192.
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(.): multiagent systems, decentralized control, consensus, Laplacian matrix, Kirchhoff matrix, DeGroot model, control
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(.): This paper is devoted to consensus problems in continuous multiagent systems whose corresponding Kirchhoff matrix is diagonalizable and 0 is a simple eigenvalue of L. It is proved that the limiting matrix of the solution of the system of linear differential equations satisfying the initial condition is a eigenprojection of the Kirchhoff matrix L, which also determines and is defined the region of convergence to consensus of the DeGroot algorithm.
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