@incollection{AST_1980__75-76__57_0, author = {Byrnes, Christopher I.}, title = {On certain problems of arithmetic arising in the realization of linear systems with symmetries}, booktitle = {Analyse des syst\`emes}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {75-76}, year = {1980}, zbl = {0458.93015}, mrnumber = {581702}, language = {en}, url = {http://archive.numdam.org/item/AST_1980__75-76__57_0/} }
TY - CHAP AU - Byrnes, Christopher I. TI - On certain problems of arithmetic arising in the realization of linear systems with symmetries BT - Analyse des systèmes AU - Collectif T3 - Astérisque PY - 1980 DA - 1980/// IS - 75-76 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1980__75-76__57_0/ UR - https://zbmath.org/?q=an%3A0458.93015 UR - https://www.ams.org/mathscinet-getitem?mr=581702 LA - en ID - AST_1980__75-76__57_0 ER -
Byrnes, Christopher I. On certain problems of arithmetic arising in the realization of linear systems with symmetries, in Analyse des systèmes, Astérisque, no. 75-76 (1980), pp. 57-65. http://archive.numdam.org/item/AST_1980__75-76__57_0/
[1] Some Geometric Questions in the Theory of Linear Systems. IEEE Trans. Automatic Control, AC-21, 1976. | MR | Zbl
. -[2] Average Value Stability Criteria for Symmetric Systems, Richerche di Aut., Vol.4, 1973.
and . -[3] On the Moduli Space for Linear Systems, in "The 1976 Ames Research Center (NASA) Conference on Geometric Control Theory", Math. Sci. Press, Brookline, MA, 1977. | MR | Zbl
. -[4] On Classification Space Techniques in Realization Theory. AMS Notices, 1978.
.-[5] On the Control of Certain, Deterministic, Infinite Dimensional Systems by Algebro-Geometric Techniques. To appear in Amer. J. Math. | MR | Zbl
. -[6] On Certain Topological and Geometric Invariants Arising in System Theory, To appear. | MR
and . -[7] Applications of Algebraic Geometry in System Theory. To appear in Amer. J. of Math., April, 1979. | MR | Zbl
and . -[8] On the Moduli of Linear Dynamical Systems. Adv. in Math., Studies in Analysis, Vol.4, 1978 | MR
and .-On the Moduli of Linear Dynamical Systems in Mathematical Methods in System Theory, MIR, Moscow 1979 (Russian).
and .-[9] The Consistent Selection of Local Coordinates in Linear System Identification. Proc. JACC, Purdue, 1976.
. -[10] Moduli and Canonical Forms for Linear, Dynamical Systems, II : The Topological Case, Math. System Theory. | MR | Zbl
. -[11] On Invariants, Canonical Forms, and Moduli for Linear, Constant, Finite-Dimensional Systems. Lecture Notes in Econ. - Math. System Theory, Vol. 131, Springer-Verlag, 1976. | DOI | MR | Zbl
and . -[12] Synthesis of Finite Passive n-parts with Prescribed Two-Variable Reactance Matrices. IEEE Trans. Cir. Theory, CT-13, 1966.
. -[13] On Split Realizations of Response Maps over Rings. Inf. and Control, 37 (1978). | DOI | MR | Zbl
.-[14] The Synthesis of Networks Containing Lumped and Distributed Elements, Networks and Switching Theory, 11, 1968. | Zbl
.-