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Some remarks on the problem of model matching by state feedback
Kybernetika, Tome 41 (2005) no. 1, pp. 47-58 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The problem of model matching by state feedback is reconsidered and some of the latest results are discussed.
The problem of model matching by state feedback is reconsidered and some of the latest results are discussed.
Classification : 93A30, 93B25, 93B52, 93C05, 93C40, 93C45
Keywords: linear systems; model matching; state feedback; dynamic compensation 
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Torres-Muñoz, J. A.; Zagalak, Petr; Duarte-Mermoud, Manuel A. Some remarks on the problem of model matching by state feedback. Kybernetika, Tome 41 (2005) no. 1, pp. 47-58. http://geodesic.mathdoc.fr/item/KYB_2005_41_1_a3/

[1] Furhmann P. A., Willems J. C.: The factorization indices for rational matrix functions. Integral Equations Operator Theory 2 (1979), 281–301

[2] Hautus M. L. J., Heymann M.: Linear feedback. An algebraic approach. SIAM J. Control Optim. 16 (1978), 83–105 | DOI | MR | Zbl

[3] Herrera A. N., Lafay J.-F., Zagalak P.: The extended interactor in the study of non-regular control problems. In: Proc. 30th Conference on Decision and Control, IEEE, Brighton 1991, pp. 373–377

[4] Kailath T.: Linear Systems Theory. Prentice Hall, Englewood Cliffs, NJ 1980 | MR

[5] Kučera V.: Analysis and Design of Discrete Linear Control Systems. Prentice Hall International, London 1992 | MR | Zbl

[6] Lafay J.-F., Zagalak, P., Herrera A. N.: Reduced form of the interactor matrix. IEEE Trans. Automat. Control AC-37 (1992), 11, 1778–1782 | DOI | MR | Zbl

[7] Malabre M., Kučera V.: Infinite zero structure and exact model matching problem: A geometric approach. IEEE Trans. Automat. Control AC-29 (1984), 266–268 | DOI

[8] Morse A. S.: Structural invariants of multivariable systems. SIAM J. Control Optim. 11 (1973), 446–465 | DOI | MR

[9] Morse A. S.: Structure and design of linear model following systems. IEEE Trans. Automat. Control AC-18 (1973), 346–354 | DOI | MR | Zbl

[10] Morse A. S.: Systems invariants under feedback and cascade control. In: Proc. Internat. Symposium on Mathematical System Theory, Udine 1975, pp. 61–74 | MR

[11] Moore B. C., Silvermann M.: Model matching by state feedback and dynamic compensation. IEEE Trans. Automat. Control AC-17 (1972), 491–497 | DOI

[12] Pernebo L.: An algabraic theory for The desgin of controllers for multivariable systems. Part II: Feedback realization and feedback design. IEEE Trans. Automat. Control AC-26 (1981), 183–194 | DOI | MR

[13] Torres J., Zagalak P.: A note on model matching by state feedback. Preprints 2nd IFAC Conference on System Structure and Control, ECN de Nantes, Nantes 1998, pp. 191–195

[14] Verghese G., Kailath T.: Rational matrix structure. IEEE Trans. Automat. Control 26 (1981), 434–439 | DOI | MR | Zbl

[15] Vidyasagar M.: Control System Synthesis: A Factorization Approach. MIT Press, Cambridge MA 1985 | MR | Zbl

[16] Wolovich W. A.: The use of state feedback for exact model matching. SIAM J. Control Optim. 10 (1972), 512–523 | DOI | MR | Zbl

[17] Wolovich W. A., Falb P.: Invariants and canonical form under dynamic compensation. SIAM J. Control Optim. 14 (1976), 996–1008 | DOI | MR

[18] Zagalak P., Lafay J.-F., Herrera-Hernandez A. N.: The row-by-row decoupling via state feedback: A polynomial approach. Automatica 29 (1993), 1491–1499 | DOI | MR | Zbl

[19] Zagalak P., Torres J.: Model matching by state feedback. In: 5th Workshop on Nonlinear, Adaptive and Linear Systems, CINVESTAV del IPN, Mexico D. F. 1998, p. 21