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In this paper,we study the consensus problem for second-order dynamic networks with time-delays.We find out that the solvability of asymptotic consensus for a network with time-delays is equivalent to the globally asymptotic stability at its zero equilibrium of the corresponding system.In other words,the stability theories play an important role in address-ing the consensus problem for the second-order dynamic networks.In addition,we introduce a Linear Matrix Inequality(LMI) by employing the Lyapunov Stability Method.Using this LMI,we can estimate the allowable time-delay bound for a second-order dynamic network with time-delays.
In this paper, we study the consensus problem for second-order dynamic networks with time-delays. We find out that the solvability of asymptotic consensus for a network with time-delays is equivalent to the globally asymptotic stability at its zero equilibrium of the corresponding system.In other words, the stability theories play an important role in address-ing the consensus problem for the second-order dynamic networks. In addition, we introduce a Linear Matrix Inequality (LMI) employing employing the Lyapunov Stability Method. Using this LMI , we can estimate the allowable time-delay bound for a second-order dynamic network with time-delays.