@article {
	title = {Invariant Subspace Methods in Linear Multivariable Distributed Systems and Lumped-Distributed Network Synthesis},
	author = {Baras, John S., Dewilde, Patrick},
	year = {1976},
	month = {02/1976},
	abstract = {Linear multivariable-distributed systems and synthesis problems for lumped-distributed networks are analyzed. The methods used center around the invariant subspace theory of Helson-Lax and the theory of vectorial Hardy functions. State-space and transfer function models are studied and their relations analyzed. We single out a class of systems and networks with nonrational transfer functions (scattering matrices), for which several of the well-known results for lumped systems and networks are generalized. In particular, we develop the relations between singularities of transfer functions and "natural modes" of the systems, a degree theory for infinite-dimensional linear systems and a synthesis via lossless embedding of the scattering matrix. Finally, coprime factorizations for this class of systems are developed.},
	pages = {pp. 160-178},
	journal = {IEEE Proceedings, Special Issue on Recent Trends in Systems Theory}
}
