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System structure at infinity. (English) Zbl 0529.93018


MSC:

93B25 Algebraic methods
15A23 Factorization of matrices
93B17 Transformations
15A21 Canonical forms, reductions, classification
93B40 Computational methods in systems theory (MSC2010)
93C05 Linear systems in control theory
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References:

[1] Hautus, M. L.J., The formal Laplace transform for smooth linear systems, (Proceedings of International Symposium on Mathematical System Theory. Proceedings of International Symposium on Mathematical System Theory, Udine, Italy (June 16-27, 1975)) · Zbl 0345.93022
[2] Dion, J. M.; Commault, J., Some factorizations at infinity of rational matrix functions and their control interpretation, (Workshop on Feedback and Synthesis of Linear and Nonlinear Systems. Workshop on Feedback and Synthesis of Linear and Nonlinear Systems, Bielefeld (June 22-26, 1981)) · Zbl 0493.93013
[3] Silverman, L. M., Inversion of multivariable linear systems, (IEEE Trans. Automat. Control (June 1969)), 270-276
[4] Vardulakis, A. I.G.; Limebeer, D. N.J.; Karcanias, N., Structure and Smith-MacMillan form of a rational matrix at infinity (November 1981), University of Cambridge Engineering Department Report
[5] M.L.J. Hautus and L.M. Silverman, System structure and singular control, Linear Systems and Its Applications; M.L.J. Hautus and L.M. Silverman, System structure and singular control, Linear Systems and Its Applications · Zbl 0522.93021
[6] Commault, C.; Dion, J. M., Structure at infinity of linear multi-variable systems: A geometric approach, (Proceedings 20th IEEE Conference on Decision and Control. Proceedings 20th IEEE Conference on Decision and Control, San Diego (1981)), 112-117 · Zbl 0501.93012
[7] Silverman, L. M., Discrete Riccati equations: Alternative algorithms, asymptotic properties and system theory interpretations, (Control and Dynamic Systems (1970)), 313-386
[8] Van Dooren, P. M., On the determination of the Smith-MacMillan form of a rational matrix from its Laurent expansion, (IEEE Trans. Circuits and Systems (March 1973)), 180-189 · Zbl 0395.93016
[9] Verghese, G. C.; Kailath, T., Rational matrix structure, (IEEE Trans. Automat. Control (April 1981)), 434-439 · Zbl 0475.93032
[10] Kailath, T., Linear Systems (1980), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0458.93025
[11] Singh, S. P., A note on inversion of linear systems, (IEEE Trans. Automat. Control (1970)), 492-493
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