@inproceedings{c9797e411b944c539092c2a010afb249,

title = "Wave propagation in networks: A system theoretic approach",

abstract = "We consider dynamical systems defined on graph structures. The dynamics on the edges are governed by partial differential equations that are interconnected at the graph vertices through algebraic conditions involving the boundary conditions of the PDEs. We show that a variety of such wave propagation problems on networks are solvable (forward in time) and energy passive or conservative - given that the governing PDEs are solvable on the separate edges. We treat these problems in the operator theoretic boundary control system framework.",

keywords = "Boundary control systems, Coupled system, Distributed parameter systems, Mathematical systems theory, Nyquist's criterion, Wave guides",

author = "Atte Aalto and Jarmo Malinen",

year = "2011",

doi = "10.3182/20110828-6-IT-1002.01439",

language = "English",

isbn = "9783902661937",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

number = "1 PART 1",

pages = "8854--8859",

booktitle = "Proceedings of the 18th IFAC World Congress",

address = "Austria",

edition = "1 PART 1",

}