The Optimal Regulations of the Interconnection-Degrees of Large Scale Systems under Instable Case
This paper discusses the stabilization problem of a large-scale system via cutting off the connections or decreasing the degree of interconnections among its subsystems subject to a cost function. Under the assumption that the large system is unstable but its sub-systems are all stable, a sufficient condition about the degree of interconnection is presented via cutting off the connections or decreasing the degree of interconnections among its subsystems such that the new large system is stable. This condition can be expressed by linear matrix inequalities (LMIs). Based on this analysis, an optimal regulation for such controls is obtained ensures the minimization of the cost function. An illustrating example is also given to show the effectiveness of the proposed method.
Y. G. Wo, "The Optimal Regulations of the Interconnection-Degrees of Large Scale Systems under Instable Case", Applied Mechanics and Materials, Vol. 235, pp. 107-110, 2012