Well -posedness of the tree-shaped networkwith delays in observers
JIN Xue-lian
Abstract：We discuss the tree-shaped network.This network has three different strings.At first, By choo-sing the suitable state space,in which the controls are imposed on two external vertexes with collocated observers. The system equation is transformed into an abstract linear system.By the methods of energy multiplier and the dual principle, the admissbility of observation operator and control operator are obtained.Then,the feedthrough operator is further got, which shows that the system is regular.At last, using the results in this note, the well-posed-ness of the system with delays in observers is also obtained.
Keywords：tree-shaped networktransfer functiondelaywellposed-ness
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 313-319 )