Root $m$-tissues: Systems under an action of the $m$-parameters
Kybernetika, Tome 21 (1985) no. 6, pp. 436-456 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 93B25, 93B35, 93B55, 93C35, 93D99
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     title = {Root $m$-tissues: {Systems} under an action of the $m$-parameters},
     journal = {Kybernetika},
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     volume = {21},
     number = {6},
     mrnumber = {831102},
     zbl = {0584.93016},
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     url = {http://geodesic.mathdoc.fr/item/KYB_1985_21_6_a2/}
}
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Vaněček, Antonín. Root $m$-tissues: Systems under an action of the $m$-parameters. Kybernetika, Tome 21 (1985) no. 6, pp. 436-456. http://geodesic.mathdoc.fr/item/KYB_1985_21_6_a2/

[1] R. Abraham, J. E. Marsden: Foundations of Mechanics. Benjamin Publ. Co., London 1978. | MR | Zbl

[2] G. E. Alderson, P. M. Lin: Computer generation of symbolic network functions - A new theory and implementation. IEEE Trans. Circuit Theory CT-20 (1973), 48- 56.

[3] J. W. Archbold: Algebra. Pitman, London 1964. | MR | Zbl

[4] J. Bak, D. J. Newmann: Complex Analysis. Springer-Verlag, New York 1982. | MR

[5] J. H. Blakelock: Automatic Control of Aircraft and Missiles. Wiley, New York 1965.

[6] W. Blaschke, G. Bol: Geometrie der Gewebe. Springer-Verlag, Berlin 1938. | Zbl

[7] H. W. Bode: Network Analysis and Feedback Amplifier Design. Van Nostrand, Princeton 1945, 115-120.

[8] N. Bourbaki: Variétés Différentielles et Analytiques. Herman, Paris 1967. | MR | Zbl

[9] N. H. Clamroch: State Models of Dynamic Systems. Springer-Verlag, New York 1980. | MR

[10] N. G. Čebotarev: Algebraic Functions Theory. (in Russian). OGIZ, Moscow 1948. | MR

[11] J. C. Doyle: Guaranteed margins for LQG regulators. IEEE Trans. Automat. Control AC-23 (1978), 756-757.

[12] J. C. Doyle, G. Stein: Robustness with observers. IEEE Trans. Automat. Control AC-24 (1979), 607-611. | MR | Zbl

[13] W. R. Evans: Control system synthesis by root locus method. Trans. AIEE 69 (1960), 66-69.

[14] K. S. Fu: Sensitivity of a linear system with variations of one or several parameters. IRE Trans. Circuit Theory CT-7 (1960), 348-349.

[15] H. Haken: Higher Order Root-Locus Technique with Applications in Control System Design. Vieweg, Braunschweig 1981. | MR

[16] P. Hippe: Partial fraction expansion and root locus method. Internat. J. Control 34 (1981), 1185-1194. | MR | Zbl

[17] S. S. L. Chang: Synthesis of Optimum Control Systems. McGraw-Hill, New York 1961.

[18] C. G. J. Jacobi: Über ein leichtes Verfahren die in der Theorie der Säcularstörungen verkommenden Gleichungen numerisch aufzulösen. J. reine angew. Mathematik 30 (1846), 51-94.

[19] T. Kailath: Linear Systems. Prentice-Hall, Englewood Cliffs 1980. | MR | Zbl

[20] T. Kato: Perturbation Theory for Linear Operators. Springer-Verlag, Berlin 1984. | Zbl

[21] B. C. Kuo: Automatic Control Systems. Prentice-Hall, Englewood Cliffs 1982. | MR | Zbl

[22] P. M. Lin: A Survey of applications of symbolic network functions. IEEE Trans. Circuit Theory CT-20 (1973), 732-737.

[23] S. J. Mason, H. J. Zimmerman: Electronic Circuits, Signals, and Systems. Wiley, New York 1960.

[24] C. T. Pan, K. S. Chao: A computer-aided root-locus method. IEEE Trans. Automat. Control AC-23 (1978), 856-860. | Zbl

[25] A. Papoulis: Perturbations of the natural frequencies and eigenvectors of a network. IEEE Trans. Circuit Theory CT-13 (1966), 188-195. | MR

[26] I. Postlethwaite, A. G. J. MacFarlane: A Complex Variable Approach to the Analysis of Linear Multivariable Feedback Systems. Springer-Verlag, Berlin 1979. | MR | Zbl

[27] D. G. Retallack: Extended root-locus technique for desing of linear multivariable feedback systems. Proc. Inst. Electr. Engrs. 117 (1970), 618-622.

[28] G. Rosenau: Höhere Wurzelortskurven bei Mehrgrössensystemen. Preprints IFAC Symp. Multivar. Control. Systems, Düsseldorf, Tome 1, 1-9, 1968.

[29] M. Suzuki: Group Theory I. Springer-Verlag, Berlin 1982. (Trans, from Japanese.) | MR | Zbl

[30] K. Singhal, J. Vlach: Symbolic analysis of analog and digital circuits. IEEE Trans. Circuits and Systems CAS-24 (1977), 598-609. | MR | Zbl

[31] M. K. Tsai, B. A. Shenoi: Generation of symbolic network functions using computer software techniques. IEEE Trans. Circuits and Systems CAS-24 (1977), 344-346. | Zbl

[32] A. Vaněček: Maximally Stable Control and Reconstruction. Academia, Prague 1984.

[33] V. C. M. Yeh: The study of transients in linear feedback systems by conformal mapping and the root locus method. Trans. ASME 76 (1954), 349-363.

[34] K. S. Yeung: Symbolic network function generation via discrete Fourier transform. IEEE Trans. Circuits and Systems CAS-31 (1984), 229-231. | MR | Zbl

[35] A. Vaněček: What is the Basic Problem of the Multivariable Control Synthesis?. Res. Rept. ČSAV-ÚTIA No. 1322, Prague 1985.