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This paper focuses on cooperative controller design and optimization problems of multi-agent systems. Based on the method of bilinear matrix inequalities(BMI), the necessary and sufficient conditions for stabilization of multi-agent systems are presented. Then, the optimization design method for cooperative control is also considered with respect to a quadratic performance index. And problems of designing cooperative controller are formulated into the non-convex optimization problems with BMI constraints. Finally, examples are given to illustrate the better effectiveness than the presented results.
Date of Conference: 7-9 July 2010