On the Dynamic Hierarchical Stabilization of Multi-channel Systems
关于多通道系统的动太递阶镇定

This paper studies a new scheme for stabilizing linear multichannel systems named dynamic hierarchical control. For linear time-invariant multi-channel systems which are channel-strongly-connected, a necessary and sufficient condition is obtained, under this condition the systems can be stabilized by dynamic hierarchical feedback with a given information structure, and for those which are decentralized cyclic information structure, the minimal information structure problem of dynamic hierarchical control is solved, and the minimal order of the dynamic coordinators is estimated. A numerical example is given to illustrate the results.