Guaranteed Cost Control of Complex Network System with Delay

The system which has complex network characteristic is widespread in natural and human society,considering the time-delay phenomenon during the information transmission,the problem of guaranteed cost for a complex netw ork w ith delay is investigated. Designing a dynamic feedback controller and constructing a guaranteed cost control function,based on Lyapunov-krasovskii stability theory,combined w ith convex optimization of matrix inequality,a sufficient condition for the existence of the guaranteed cost controller w ith time delay in complex netw ork systems is obtained,and the least upper bound for the quadratic cost function method is gained. The dynamic feedback controller is designed to ensure the asymptotic stability conditions of the system and it makes the performance index of the system meet certain requirements.For the system is given the upper bound of the guaranteed cost,the design of controller parameters can be obtained on the condition of the theorem. Finally,a numerical example is given to demonstrate the feasibility of proposed method.

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