| Title: | Root $m$-tissues: Systems under an action of the $m$-parameters (English) | 
| Author: | Vaněček, Antonín | 
| Language: | English | 
| Journal: | Kybernetika | 
| ISSN: | 0023-5954 | 
| Volume: | 21 | 
| Issue: | 6 | 
| Year: | 1985 | 
| Pages: | 436-456 | 
| . | 
| Category: | math | 
| . | 
| MSC: | 93B25 | 
| MSC: | 93B35 | 
| MSC: | 93B55 | 
| MSC: | 93C35 | 
| MSC: | 93D99 | 
| idZBL: | Zbl 0584.93016 | 
| idMR: | MR831102 | 
| . | 
| Date available: | 2009-09-24T17:50:03Z | 
| Last updated: | 2012-06-05 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/125886 | 
| . | 
| Reference: | [1] R. Abraham, J. E. Marsden: Foundations of Mechanics.Benjamin Publ. Co., London 1978. Zbl 0393.70001, MR 0515141 | 
| Reference: | [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. | 
| Reference: | [3] J. W. Archbold: Algebra.Pitman, London 1964. Zbl 0161.00903, MR 0094293 | 
| Reference: | [4] J. Bak, D. J. Newmann: Complex Analysis.Springer-Verlag, New York 1982. MR 0671250 | 
| Reference: | [5] J. H. Blakelock: Automatic Control of Aircraft and Missiles.Wiley, New York 1965. | 
| Reference: | [6] W. Blaschke, G. Bol: Geometrie der Gewebe.Springer-Verlag, Berlin 1938. Zbl 0020.06701 | 
| Reference: | [7] H. W. Bode: Network Analysis and Feedback Amplifier Design.Van Nostrand, Princeton 1945, 115-120. | 
| Reference: | [8] N. Bourbaki: Variétés Différentielles et Analytiques.Herman, Paris 1967. Zbl 0171.22004, MR 0219078 | 
| Reference: | [9] N. H. Clamroch: State Models of Dynamic Systems.Springer-Verlag, New York 1980. MR 0584265 | 
| Reference: | [10] N. G. Čebotarev: Algebraic Functions Theory.(in Russian). OGIZ, Moscow 1948. MR 0030003 | 
| Reference: | [11] J. C. Doyle: Guaranteed margins for LQG regulators.IEEE Trans. Automat. Control AC-23 (1978), 756-757. | 
| Reference: | [12] J. C. Doyle, G. Stein: Robustness with observers.IEEE Trans. Automat. Control AC-24 (1979), 607-611. Zbl 0429.93048, MR 0538818 | 
| Reference: | [13] W. R. Evans: Control system synthesis by root locus method.Trans. AIEE 69 (1960), 66-69. | 
| Reference: | [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. | 
| Reference: | [15] H.  Haken: Higher Order Root-Locus Technique with Applications in Control System Design.Vieweg, Braunschweig 1981. MR 0671427 | 
| Reference: | [16] P. Hippe: Partial fraction expansion and root locus method.Internat. J. Control 34 (1981), 1185-1194. Zbl 0472.93019, MR 0643880 | 
| Reference: | [17] S. S. L. Chang: Synthesis of Optimum Control Systems.McGraw-Hill, New York 1961. | 
| Reference: | [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. | 
| Reference: | [19] T. Kailath: Linear Systems.Prentice-Hall, Englewood Cliffs 1980. Zbl 0454.93001, MR 0569473 | 
| Reference: | [20] T. Kato: Perturbation Theory for Linear Operators.Springer-Verlag, Berlin 1984. Zbl 0531.47014 | 
| Reference: | [21] B. C. Kuo: Automatic Control Systems.Prentice-Hall, Englewood Cliffs 1982. Zbl 0542.93001, MR 0147338 | 
| Reference: | [22] P. M. Lin: A Survey of applications of symbolic network functions.IEEE Trans. Circuit Theory CT-20 (1973), 732-737. | 
| Reference: | [23] S. J. Mason, H. J. Zimmerman: Electronic Circuits, Signals, and Systems.Wiley, New York 1960. | 
| Reference: | [24] C. T. Pan, K. S. Chao: A computer-aided root-locus method.IEEE Trans. Automat. Control AC-23 (1978), 856-860. Zbl 0387.93019 | 
| Reference: | [25] A. Papoulis: Perturbations of the natural  frequencies   and  eigenvectors of a network.IEEE Trans. Circuit Theory CT-13 (1966), 188-195. MR 0245366 | 
| Reference: | [26] I. Postlethwaite, A. G. J. MacFarlane: A Complex Variable Approach to the Analysis of Linear Multivariable Feedback Systems.Springer-Verlag, Berlin 1979. Zbl 0402.93001, MR 0541148 | 
| Reference: | [27] D. G. Retallack: Extended root-locus technique for desing of linear multivariable feedback systems.Proc. Inst. Electr. Engrs. 117 (1970), 618-622. | 
| Reference: | [28] G. Rosenau: Höhere Wurzelortskurven bei Mehrgrössensystemen.Preprints IFAC Symp. Multivar. Control. Systems, Düsseldorf, Tome 1, 1-9, 1968. | 
| Reference: | [29] M. Suzuki: Group Theory I.Springer-Verlag, Berlin 1982. (Trans, from Japanese.) Zbl 0472.20001, MR 0648772 | 
| Reference: | [30] K. Singhal, J. Vlach: Symbolic analysis of analog and digital circuits.IEEE Trans. Circuits and Systems CAS-24 (1977), 598-609. Zbl 0365.94064, MR 0456993 | 
| Reference: | [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 0365.94054 | 
| Reference: | [32] A. Vaněček: Maximally Stable Control and Reconstruction.Academia, Prague 1984. | 
| Reference: | [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. | 
| Reference: | [34] K. S. Yeung: Symbolic network function generation via discrete Fourier transform.IEEE Trans. Circuits and Systems CAS-31 (1984), 229-231. Zbl 0534.94005, MR 0736439 | 
| Reference: | [35] A. Vaněček: What is the Basic Problem of the Multivariable Control Synthesis?.Res. Rept. ČSAV-ÚTIA No. 1322, Prague 1985. | 
| . |