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Inner‐Outer Factorization via Lur'e Equations
Author(s) -
Reis Timo,
Voigt Matthias
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610403
Subject(s) - factorization , invariant (physics) , realization (probability) , mathematics , algebraic number , construct (python library) , contrast (vision) , lti system theory , differential equation , algebraic equation , linear differential equation , work (physics) , differential algebraic equation , linear system , control theory (sociology) , pure mathematics , computer science , mathematical analysis , ordinary differential equation , physics , algorithm , mathematical physics , artificial intelligence , nonlinear system , control (management) , thermodynamics , programming language , quantum mechanics , statistics
In this paper we construct inner‐outer factorizations of transfer functions governed by linear time‐invariant differential‐algebraic systems. This construction is based on the solution of certain Lur’e equations. In contrast to previous work we do not assume any condition apart from behavioral stabilizability of the underlying system realization. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)