BMI approach to the interconnected stability and cooperative control of linear time-delay systems

In this paper, the problem of interconnected delay-independent stability and cooperative control of large-scale linear time-delay systems are studied. Based on the bilinear matrix inequality (BMI), sufficient conditions are given for interconnected delay-independent stability and cooperative stabilization of two subsystems. The results show that the systems can be easily cooperatively stabilized even if the subsystems are not stable. The problem of designing cooperative controller is formulated into the problem with BMI constraints. To solve this problem, an optimal alternate algorithm is proposed. Finally, an example is given to illustrate the results.