Abstract
For a contractive block lower triangular operatorT optimal and star-optimal time-variant dissipative scattering realizations are introduced and their main properties are derived by state space considerations only. Two constructions of minimal and optimal realizations are given.
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Arov, D.Z., Kaashoek, M.A. & Pik, D.R. Optimal time-variant systems and factorization of operators, I: Minimal and optimal systems. Integr equ oper theory 31, 389–420 (1998). https://doi.org/10.1007/BF01228099
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DOI: https://doi.org/10.1007/BF01228099