On some uses of factorizations in linear system theory

Bart, 1979 Basile, 1969, Controlled and conditioned invariant subspaces in linear system theory, J. Optim. Th. & Appl., 3, 306, 10.1007/BF00931370 Callier, 1985, On polynomial matrix spectral factorization by symmetric extraction, IEEE Trans. on Auto. Contr., 30, 453, 10.1109/TAC.1985.1103973 Douglas, 1971, Cyclic vectors and invariant subspaces for the backward shift, Ann. Inst. Fourier, Grenoble, 20, 37, 10.5802/aif.338 Finesso, 1982, A characterization of minimal spectral factors, IEEE Trans. Autom. Contr., AC-27, 122, 10.1109/TAC.1982.1102861 Fuhrmann, 1968, On the corona problem and its application to spectral problems in Hilbert space, Trans. Amer. Math. Soc., 132, 55, 10.1090/S0002-9947-1968-0222701-7 Fuhrmann, 1968, A functional calculus in Hilbert space based on operator valued analytic functions, Israel J. Math., 6, 267, 10.1007/BF02760259 Fuhrmann, 1976, Algebraic system theory: An analyst's point of view, J. Franklin Inst., 301, 521, 10.1016/0016-0032(76)90076-4 Fuhrmann, 1975, On Hankel operator ranges, meromorphic pseudo-continuation and factorization of operator valued analytic functions, J. Lon. Math. Soc., 13, 323, 10.1112/jlms/s2-13.2.323 Fuhrmann, 1981, Duality in polynomial models with some applications to geometric control theory, Trans. Aut. Control, AC-26, 284, 10.1109/TAC.1981.1102570 Fuhrmann, 1981 Fuhrmann, 1984, The algebraic Riccati equation — a polynomial approach, Systems and Control Letters, 5, 369, 10.1016/0167-6911(85)90060-X Fuhrmann, 1989, Elements of Factorization Theory, Vol. 135 Fuhrmann, 1994, A duality theory for robust control and model reduction, Lin. Alg. Appl., vols. 203–204, 471, 10.1016/0024-3795(94)90214-3 Fuhrmann, 1995, “On the characterization and parametrization of minimal spectral factors”, to appear, Journal of Mathematical Systems, Estimation and Control Fuhrmann, 1995 Fuhrmann, 1993, “On coprime factorizations”, the T. Ando Anniversary Volume, vol. 62, 39 Fuhrmann, 1979, Factorization indices at infinity for rational matrix functions, Integral Equat. and Oper. Theory, 2, 287, 10.1007/BF01682672 Fuhrmann, 1980, A study of (A,B)-invariant subspaces via polynomial models, Int. J. Contr., 31, 467, 10.1080/00207178008961055 Genin, 1983, On Σ-lossless transfer functions and related questions, Lin. Alg. Appl., 50, 251, 10.1016/0024-3795(83)90058-7 Georgiou, 1990, Optimal robustness in the gap metric, IEEE Trans. on Auto. Contr., 35, 673, 10.1109/9.53546 Gohberg, 1971, Convolution Equations and Projection Methods for their Solution, Amer. Math. Soc. Translations of Mathematical Monographs, vol. 41 Hautus, 1978, Linear feedback-an algebraic approach, SIAM J. Control, 16, 83, 10.1137/0316007 Helmke, 1989, Bezoutians, Lin. Alg. Appl., 10.1016/0024-3795(89)90684-8 Khargonekar, 1982, On the relation between stable matrix factorizations and regulable realizations of linear systems over rings, IEEE Trans. on Auto. Contr., 27, 627, 10.1109/TAC.1982.1102958 McFarlane, 1989, Robust controller design using normalized coprime factor plant descriptions, vol. 10 Meyer, 1987, A connection between normalized coprime factorizations and linear quadratic regulator theory, IEEE Trans. on Auto. Contr., 32, 227, 10.1109/TAC.1987.1104569 Nikolskii, 1985 Ober, 1991, Stability of control systems and graphs of linear systems, Systems and Control Letters, 17, 265, 10.1016/0167-6911(91)90142-2 Picci, 1994, Acausal models of stationary processes, Lin. Alg. Appl, 205–206, 997, 10.1016/0024-3795(94)90378-6 Sakhnovich, 1976, On the factorization of an operator valued transfer function, Soviet Math. Dokl., 17, 203 Sarason, 1967, Generalized interpolation in H∞, Trans. Amer. Math. Soc., 127, 179 Schumacher, 1981, Dynamic feedback in finite- and infinite-dimensional linear systems Sz.-Nagy, 1970 Vidyasagar, 1988, Normalized coprime factorizations for non strictly proper systems, Automatica, 85 Vidyasagar, 1985 Willems, 1971, Least squares stationary optimal control and the algebraic Ricatti equation, Trans. Automat. Contr., 16, 621, 10.1109/TAC.1971.1099831