Lax-Phillips scattering theory and well-posed linear systems: a coordinate-free approach

DOI10.1007/s00498-008-0025-0zbMath1145.93024OpenAlexW2075384992MaRDI QIDQ926292

Yoichi Uetake, Philip T. Carroll, Joseph A. Ball

Publication date: 27 May 2008

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-008-0025-0

zbMATH Keywords

transfer functionscattering operatorenergy balancecontrol operatorapproximately controllablesystem nodeobservation operatorapproximately observablescattering matrix/functionscattering-conservative linear systemSchäffer matrixstate transition mapsystem trajectorytranslation representation

Mathematics Subject Classification ID

Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Scattering theory of linear operators (47A40)

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