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93B25 Algebraic methods (76 articles)

• Kaldmäe, Arvo; Kotta, Ülle: Realization of nonlinear input-output equations in controller canonical form. (English). Kybernetika, vol. 54 (2018), issue 4, pp. 736-747
• Mishra, Vikas Kumar; Tomar, Nutan Kumar: Alternate checking criteria for reachable controllability of rectangular descriptor systems. (English). Kybernetika, vol. 53 (2017), issue 5, pp. 820-837
• García-Planas, María Isabel: Exact controllability of linear dynamical systems: A geometrical approach. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 37-47
• Halás, Miroslav; Bisták, Pavol: State elimination for nonlinear neutral state-space systems. (English). Kybernetika, vol. 50 (2014), issue 4, pp. 473-490
• Kotta, Ülle; Kotta, Palle; Halás, Miroslav: Reduction and transfer equivalence of nonlinear control systems: Unification and extension via pseudo-linear algebra. (English). Kybernetika, vol. 46 (2010), issue 5, pp. 831-849
• Fernández-Anaya, G.; Martínez García, J. C.; Kučera, Vladimír; Aguilar George, D.: SPR0 substitutions and families of algebraic Riccati equations. (English). Kybernetika, vol. 42 (2006), issue 5, pp. 605-616
• Torres-Muñoz, J. A.; Zagalak, Petr; Duarte-Mermoud, Manuel A.: Some remarks on the problem of model matching by state feedback. (English). Kybernetika, vol. 41 (2005), issue 1, pp. [47]-58
• Aranda-Bricaire, Eduardo; Kotta, Ülle: A geometric solution to the dynamic disturbance decoupling for discrete-time nonlinear systems. (English). Kybernetika, vol. 40 (2004), issue 2, pp. [197]-206
• Gaubert, Stéphane; Katz, Ricardo: Rational semimodules over the max-plus semiring and geometric approach to discrete event systems. (English). Kybernetika, vol. 40 (2004), issue 2, pp. [153]-180
• Loiseau, Jean-Jacques; Zagalak, Petr; Mondié, Sabine: Some remarks on matrix pencil completion problems. (English). Kybernetika, vol. 40 (2004), issue 6, pp. [665]-680
• Li, Jun: A further investigation for Egoroff's theorem with respect to monotone set functions. (English). Kybernetika, vol. 39 (2003), issue 6, pp. [753]-760
• Cottenceau, B.; Lhommeau, M.; Hardouin, L.; Boimond, J.-L.: On timed event graph stabilization by output feedback in dioid. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [165]-176
• Cechlárová, Katarína; Cuninghame-Green, Ray A.: Soluble approximation of linear systems in max-plus algebra. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [137]-141
• Klimann, Ines: Some representations for series on idempotent semirings - or how to go beyond recognizability keeping representability. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [177]-192
• Pommaret, Jean-François: Poles and zeroes of nonlinear control systems. (English). Kybernetika, vol. 38 (2002), issue 5, pp. [609]-615
• Gluesing-Luerssen, Heide; Vettori, Paolo; Zampieri, Sandro: The algebraic structure of delay-differential systems: a behavioral perspective. (English). Kybernetika, vol. 37 (2001), issue 4, pp. [397]-426
• Loiseau, Jean Jacques: Invariant factors assignment for a class of time-delay systems. (English). Kybernetika, vol. 37 (2001), issue 3, pp. [265]-275
• Smagina, Yelena M.: New coprime polynomial fraction representation of transfer function matrix. (English). Kybernetika, vol. 37 (2001), issue 6, pp. [725]-735
• Fliess, Michel; Mounier, Hugues: On a class of linear delay systems often arising in practice. (English). Kybernetika, vol. 37 (2001), issue 3, pp. [295]-308
• Kotta, Ülle: Input-output decoupling of nonlinear recursive systems. (English). Kybernetika, vol. 36 (2000), issue 1, pp. [43]-51
• Assan, Jean; Perdon, Anna M.: An efficient computation of the solution of the block decoupling problem with coefficient assignment over a ring. (English). Kybernetika, vol. 35 (1999), issue 6, pp. [765]-776
• Hušek, Petr; Šebek, Michael; Štecha, Jan: Numerical operations among rational matrices: standard techniques and interpolation. (English). Kybernetika, vol. 35 (1999), issue 5, pp. [587]-598
• Declerck, Philippe: Predictability and control synthesis. (English). Kybernetika, vol. 35 (1999), issue 1, pp. [25]-38
• Gazarik, Michael J.; Kamen, Edward W.: Reachability and observability of linear systems over max-plus. (English). Kybernetika, vol. 35 (1999), issue 1, pp. [2]-12
• Charalambous, Charalambos D.: Finite-dimensionality of information states in optimal control of stochastic systems: a Lie algebraic approach. (English). Kybernetika, vol. 34 (1998), issue 6, pp. [725]-738
• Tornambè, Antonio: The tracking and regulation problem for a class of generalized systems. (English). Kybernetika, vol. 34 (1998), issue 6, pp. [635]-654
• Conte, G.; Perdon, Anna M.: Errata corrige: “The matching problem for behavioral systems”. (English). Kybernetika, vol. 33 (1997), issue 1, pp. 132
• Mastorakis, Nikos E.: Approximate stable multidimensional polynomial factorization into linear $m$-D polynomial factors. (English). Kybernetika, vol. 32 (1996), issue 3, pp. 275-288
• Gören, Leyla; Güzelkaya, Müjde: Decoupling in singular systems: a polynomial equation approach. (English). Kybernetika, vol. 32 (1996), issue 2, pp. 185-198
• Ježek, Jan: Non-commutative rings of fractions in algebraical approach to control theory. (English). Kybernetika, vol. 32 (1996), issue 1, pp. 81-94
• Ježek, Jan: Rings of skew polynomials in algebraical approach to control theory. (English). Kybernetika, vol. 32 (1996), issue 1, pp. 63-80
• Karampetakis, N. P.; Vardulakis, A. I. G.; Pugh, A. C.: A classification of generalised state space reduction methods for linear multivariable systems. (English). Kybernetika, vol. 31 (1995), issue 6, pp. 547-557
• Bonilla E., M.; Malabre, M.; Cheang W., J. A.: Disturbance rejection by proportional and derivative output feedback. (English). Kybernetika, vol. 31 (1995), issue 6, pp. 669-681
• Conte, G.; Perdon, Anna M.: The matching problem for behavioral systems. (English). Kybernetika, vol. 31 (1995), issue 6, pp. 613-621
• Hinrichsen, Diederich; O'Halloran, Joyce: A pencil approach to high gain feedback and generalized state space systems. (English). Kybernetika, vol. 31 (1995), issue 2, pp. 109-139
• Fragulis, G. F.; Vardulakis, A. I. G.: Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs). (English). Kybernetika, vol. 30 (1994), issue 6, pp. 617-628
• Zampieri, Sandro: Exact modelling of scalar 2D arrays. (English). Kybernetika, vol. 30 (1994), issue 2, pp. 129-140
• Karcanias, Nicos; Baser, Ulviye: Exterior algebra and invariant spaces of implicit systems: The Grassmann representative approach. (English). Kybernetika, vol. 30 (1994), issue 1, pp. 1-22
• Coll, Carmen; Bru, Rafael; Hernández, Vicente: Generalized Bezoutian for a periodic collection of rational matrices. (English). Kybernetika, vol. 30 (1994), issue 4, pp. 393-402
• de Does, Jesse; Schumacher, J. M.: Interpretations of the gap topology: A survey. (English). Kybernetika, vol. 30 (1994), issue 2, pp. 105-120
• Fragulis, George F.: Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs. (English). Kybernetika, vol. 30 (1994), issue 6, pp. 607-616
• Corradini, M. Letizia: Self bounded controlled invariants for singular systems. (English). Kybernetika, vol. 30 (1994), issue 6, pp. 639-644
• Pugh, A. C.; Karampetakis, N. P.; Vardulakis, A. I. G.; Hayton, G. E.: Structural properties of inverse linear systems. (English). Kybernetika, vol. 30 (1994), issue 6, pp. 597-606
• Helmke, Uwe; Prechtel, Michael; Shayman, Mark A.: Riccati-like flows and matrix approximations. (English). Kybernetika, vol. 29 (1993), issue 6, pp. 563-582
• Commault, Christian; Descusse, Jacques; Dion, Jean-Michel; Torres, J. A.: Block decoupling invariants: Geometric and transfer matrix characterizations. (English). Kybernetika, vol. 27 (1991), issue 4, pp. 345-361
• Hippe, Peter: Design of observer based compensators: The polynomial approach. (English). Kybernetika, vol. 27 (1991), issue 2, pp. 125-150
• Blanchini, Franco: Eigenvalue assignment via state observer for descriptor systems. (English). Kybernetika, vol. 27 (1991), issue 4, pp. 384-392
• Loiseau, Jean J.; Özçaldiran, Kadri; Malabre, Michel; Karcanias, Nicos: Feedback canonical forms of singular systems. (English). Kybernetika, vol. 27 (1991), issue 4, pp. 289-305
• Zagalak, Petr; Kučera, Vladimír: Fundamental theorem of state feedback: The case of infinite poles. (English). Kybernetika, vol. 27 (1991), issue 1, pp. 1-11
• Grasselli, Osvaldo Maria; Longhi, Sauro: Input and output decoupling zeros of linear periodic discrete-time systems. (English). Kybernetika, vol. 27 (1991), issue 3, pp. 202-212
• Ježek, Jan: An algebraic approach to the synthesis of control for linear discrete meromorphic systems. (English). Kybernetika, vol. 25 (1989), issue 2, pp. 73-82
• Umesh, R. M.: Conditions for a constrained system to have a set of impulse energy measures. (English). Kybernetika, vol. 25 (1989), issue 1, pp. 45-59
• Özgüler, A. Bülent; Eldem, Vasfi: On diagonalization by dynamic output feedback. (English). Kybernetika, vol. 25 (1989), issue 1, pp. 35-40
• Šebek, Michael: Polynomial approach to pole placement in MIMO $n-D$ systems. (English). Kybernetika, vol. 25 (1989), issue 4, pp. 271-277
• Pták, Vlastimil: Linear fractional transformations and companion matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 279-284
• Hunt, Kenneth J.: A single-degree-of-freedom polynomial solution to the optimal feedback/feedforward stochastic tracking problem. (English). Kybernetika, vol. 24 (1988), issue 2, pp. 81-97
• Šebek, Michael: Characteristic polynomial assignment for delay-differential systems via 2-D polynomial equations. (English). Kybernetika, vol. 23 (1987), issue 5, pp. 345-359
• Ballico, Edoardo; Struppa, Daniele C.: Minimal degree solutions for the Bezout equation. (English). Kybernetika, vol. 23 (1987), issue 5, pp. 360-364
• Šebek, Michael: Model matching of 2-D multi-input multi-output systems. (English). Kybernetika, vol. 23 (1987), issue 4, pp. 319-328
• Ježek, Jan: Symmetric matrix polynomial equations. (English). Kybernetika, vol. 22 (1986), issue 1, pp. 19-30
• Klán, Petr: Estimation of polynomial roots by continued fractions. (English). Kybernetika, vol. 21 (1985), issue 6, pp. 457-469
• Vaněček, Antonín: Root $m$-tissues: Systems under an action of the $m$-parameters. (English). Kybernetika, vol. 21 (1985), issue 6, pp. 436-456
• Datta, K. B.: Hankel-matrix approach to invertibility of linear multivariable systems. (English). Kybernetika, vol. 20 (1984), issue 2, pp. 107-126
• Kučera, Vladimír; Šebek, Michael: A polynomial solution to regulation and tracking. I. Deterministic problem. (English). Kybernetika, vol. 20 (1984), issue 3, pp. 177-188
• Šebek, Michael: 2-D polynomial equations. (English). Kybernetika, vol. 19 (1983), issue 3, pp. 212-224
• Soukup, Václav; Havlíček, Karel; Lukeš, Martin: Additionals signals in linear discrete-time control systems. II. Additional feedback signal. (English). Kybernetika, vol. 19 (1983), issue 2, pp. 131-157
• Kučera, Vladimír: Linear quadratic control. State space vs. polynomial equations. (English). Kybernetika, vol. 19 (1983), issue 3, pp. 185-195
• Tchoń, Krzysztof: On generic properties of linear systems: An overview. (English). Kybernetika, vol. 19 (1983), issue 6, pp. 467-474
• Kučera, Vladimír; Malabre, Michel: On various dynamic compensations. (English). Kybernetika, vol. 19 (1983), issue 5, pp. 439-442
• Soukup, Václav: Additional signals in linear discrete-time control systems. I. Additional control signal. (English). Kybernetika, vol. 18 (1982), issue 5, pp. 415-439
• Kučera, Vladimír: Assigning the invariant factors by feedback. (English). Kybernetika, vol. 17 (1981), issue 2, pp. 118-127
• Vostrý, Zdeněk: Suboptimal control on finite time interval. (English). Kybernetika, vol. 15 (1979), issue 3, pp. (231)-240
• Kučera, Vladimír: Algebraic theory of discrete optimal control for multivariable systems [III.]. (English). Kybernetika, vol. 12 (1976), issue 7, pp. 221-239
• Kučera, Vladimír: Algebraic theory of discrete optimal control for multivariable systems [II.]. (English). Kybernetika, vol. 11 (1975), issue 7, pp. 57-220
• Kučera, Vladimír: Algebraic theory of discrete optimal control for multivariable systems [I.]. (English). Kybernetika, vol. 10 (1974), issue 7, pp. (1),3-56
• Kučera, Vladimír: Constrained optimal control. The algebraic approach. (English). Kybernetika, vol. 10 (1974), issue 4, pp. (317)-349