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IMA Journal of Mathematical Control and Information 1996 13(4):359-384; doi:10.1093/imamci/13.4.359
© 1996 by Institute of Mathematics and its Applications
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Normalized coprime factorizations in continuous and discrete time—a joint state-space approach

J. W. HOFFMANN

Fachbereich Mathematik, Universität Kaiserslautern Kaiserslautern, Germany

Based on state-space formulae for coprime factorizations over and an algebraic characterization of J-inner functions, normalized doubly coprime factorizations for different classes of continuous-time and discrete-time transfer functions are derived by using a single general construction method. The parametrization of the factors is in terms of the stabilizing solutions of general degenerate continuous-time and discrete-time Riccati equations respectively, which are obtained by examining statespace representations of J-normalized factor matrices.


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