On certain problems of arithmetic arising in the realization of linear systems with symmetries
Analyse des systèmes, Astérisque, no. 75-76 (1980), pp. 57-65.
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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] R. W. Brockett. - Some Geometric Questions in the Theory of Linear Systems. IEEE Trans. Automatic Control, AC-21, 1976. | MR | Zbl

[2] R. W. Brockett and J. C. Willems. - Average Value Stability Criteria for Symmetric Systems, Richerche di Aut., Vol.4, 1973.

[3] C. I. Byrnes . - 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] C. I. Byrnes.- On Classification Space Techniques in Realization Theory. AMS Notices, 1978.

[5] C. I. Byrnes. - On the Control of Certain, Deterministic, Infinite Dimensional Systems by Algebro-Geometric Techniques. To appear in Amer. J. Math. | MR | Zbl

[6] C. I. Byrnes and T. E. Duncan. - On Certain Topological and Geometric Invariants Arising in System Theory, To appear. | MR

[7] C. I. Byrnes and P. L. Falb. - Applications of Algebraic Geometry in System Theory. To appear in Amer. J. of Math., April, 1979. | MR | Zbl

[8] C. I. Byrnes and N. E. Hurt.- On the Moduli of Linear Dynamical Systems. Adv. in Math., Studies in Analysis, Vol.4, 1978 | MR

C. I. Byrnes and N. E. Hurt.- On the Moduli of Linear Dynamical Systems in Mathematical Methods in System Theory, MIR, Moscow 1979 (Russian).

[9] J. M. C. Clark. - The Consistent Selection of Local Coordinates in Linear System Identification. Proc. JACC, Purdue, 1976.

[10] M. Hazewinkel. - Moduli and Canonical Forms for Linear, Dynamical Systems, II : The Topological Case, Math. System Theory. | MR | Zbl

[11] M. Hazewinkel and R. E. Kalman. - 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

[12] T. Koga. - Synthesis of Finite Passive n-parts with Prescribed Two-Variable Reactance Matrices. IEEE Trans. Cir. Theory, CT-13, 1966.

[13] E. Sontag.- On Split Realizations of Response Maps over Rings. Inf. and Control, 37 (1978). | DOI | MR | Zbl

[14] D. C. Youla.- The Synthesis of Networks Containing Lumped and Distributed Elements, Networks and Switching Theory, 11, 1968. | Zbl