Boundary Constraints for Minimum Cost Control of Directed Networks

摘要: Controlling directed networks with minimum cost has become an emerging branch in the areas of complex and control recently. In this paper, we focus on problem subject to two types boundary constraints, namely, trace constraint orthonormal input matrices. First, is formulated as optimization model for each type constraint. Next, iterative algorithms, named trace-constraint-based projected gradient method orthonormal-constraint-based method, are proposed solve optimal problem, respectively. Then, convergence properties both algorithms established. Finally, extensive simulation results show effectiveness our methods based detailed comparisons between conditions. We believe reveal some interesting physical insights networks.