Time varying linear systems with boundary conditions and integral operators. I. The transfer operator and its properties

Anderson, B.D.O., Kailath, T.: Some integral equations with non-symmetric separable kernels, Siam J. Appl. Math. 20 (1971), 659?669.

Bart, H., Gohberg, I., Kaashoek, M.A.: Minimal factorization of matrix and operator functions. Operator Theory: Advances and Applications, Vol. 1, Birkhäuser Verlag, Basel, 1979.

Bart, H., Gohberg, I., Kaashoek, M.A.: Wiener-Hopf integral equations, Toeplitz matrices and linear systems. In: Toeplitz Centennial (ed. I. Gohberg), Operator Theory: Advances and Applications, Vol. 4, Birkhäuser Verlag, Basel, 1982, pp. 85?135.

Bart, H., Gohberg, I., Kaashoek, M.A.: Convolution equations and linear systems, Integral Equations and Operator Theory 5 (1982), 283?340.

Bart, H., Gohberg, I., Kaashoek, M.A.: The coupling method for solving integral equations. In: Topics in Operator Theory, Systems and Networks, The Rehovot Workshop (Eds. H. Dym, I. Gohberg). Operator Theory: Advances and Applications, Vol. 12, Birkhäuser Verlag, Basel, 1984.

Bart, H., Gohberg, I., Kaashoek, M.A., Van Dooren, P.: Factorizations of transfer functions, Siam J. Control Optimization 18 (1980), 675?696.

Coddington, E.A., Levinson, N.: Theory of ordinary differential equations, McGraw-Hill, New York, 1955.

Coppel, W.A.: Dichotomies in stability theory. Lecture notes in Mathematics, Vol. 629, Springer-Verlag, Berlin, 1978.

Dalecki i, Ju. L., Krein, M.G.: Stability of solutions of differential equations in Banach space. Amer. Math. Soc. Transl. 43, American Mathematical Society, Providence R. I., 1974.

D'Angelo, H.: Linear time-varying systems, Allyn and Bacon, Boston Mass., 1970.

Gohberg, I.C., Kre in, M.G.: Theory and Applications of Volterra operators in Hilbert space. Transl. Math. Monographs, Vol. 24, American Mathematical Society, Providence R.I., 1970.

Goldberg, M.A.: Boundary and initial-value methods for solving Fredholm equations with semi-degenerate kernels. In: Solution methods for integral equations, theory and applications (Ed. M.A. Goldberg), Plenum Press, New York, 1979; pp. 303?345.

Kailath, T.: Linear Systems, Prentice-Hall, Inc., Englewood Cliffs N.J., 1980.

Kailath, T., Ljung, L., Morf, M.: Generalized Krein-Levinson equations for the efficient computation of Fredholm resolvents of nondisplacement kernels. In: Topics in Functional Analysis (Eds. I. Gohberg, M. Kac), Academic Press, New York, 1978, pp. 169?184.

Kailath, T., Ljung, L., Morf, M.: Displacement ranks of a matrix, Bull. Amer. Math. Soc. (new series) 1 (5) (1979), 769?773.

Kalman, R.E., Falb, P.L., Arbib, M.A.: Topics in mathematical system theory, McGraw-Hill, New York, 1969.

Krener, A.J.: Boundary value linear systems, Astérique 75/76 (1980), 149?165.

Massera, J.L., Schäffer, J.J.: Linear differential equations and function spaces, Academic Press, New York, 1966.

Rosenbrock, H.H.: State-space and multivariable theory, Nelson, London, 1970.