Publications

• Public

  On a homeomorphism between orbit spaces of linear systems < and matrix polynomials: Linear Algebra and Its Applications 2012

  DOI: 10.1016/j.laa.2011.03.022
  http://www.scopus.com/inward/record.url?eid=2-s2.0-84865719715&partnerID=MN8TOARS
  Marcaida, S. and Zaballa, I., (2012). "On a homeomorphism between orbit spaces of linear systems < and matrix polynomials", Linear Algebra and Its Applications, vol. 436, no. 6, pp. 1664-1682
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  Filters connecting isospectral quadratic systems: Linear Algebra and Its Applications 2011

  DOI: 10.1016/j.laa.2011.03.040
  http://www.scopus.com/inward/record.url?eid=2-s2.0-79955105685&partnerID=MN8TOARS
  Garvey, S.D. and Lancaster, P. and Popov, A.A. and Prells, U. and Zaballa, I., (2011). "Filters connecting isospectral quadratic systems", Linear Algebra and Its Applications
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  On the geometry of the generalized partial realization problem: Mathematics of Control, Signals, and Systems 2010

  DOI: 10.1007/s00498-010-0051-6
  http://www.scopus.com/inward/record.url?eid=2-s2.0-77955770729&partnerID=MN8TOARS
  Baragaña, I. and Puerta, F. and Puerta, X. and Zaballa, I., (2010). "On the geometry of the generalized partial realization problem", Mathematics of Control, Signals, and Systems, vol. 22, no. 1, pp. 39-89
• Public

  Diagonalizable quadratic eigenvalue problems May-2009

  DOI: 10.1016/j.ymssp.2008.11.007
  Lancaster, P & Zaballa, I, 2009, 'Diagonalizable quadratic eigenvalue problems', Mechanical Systems and Signal Processing, vol. 73, no. 1, pp. 96-1144.
• Public

  Local Wiener-Hopf factorization and indices over arbitrary fields: Linear Algebra and Its Applications 2009

  DOI: 10.1016/j.laa.2008.10.001
  http://www.scopus.com/inward/record.url?eid=2-s2.0-58349084860&partnerID=MN8TOARS
  Amparan, A. and Marcaida, S. and Zaballa, I., (2009). "Local Wiener-Hopf factorization and indices over arbitrary fields", Linear Algebra and Its Applications, vol. 430, no. 5-6, pp. 1700-1722
• Public

  The change of similarity invariants under row perturbations Sep-2008

  DOI: 10.1016/j.laa.2008.02.022
  Beitia, M, de Hoyos, I & Zaballa, I, 2008, 'The change of similarity invariants under row perturbations', Linear Algebra and its Applications, vol. 27, no. 1, pp. 325-1333.
• Public

  The change of similarity invariants under row perturbations: Generic cases July-2008

  DOI: 10.1016/j.laa.2008.03.006
  Beitia, M, de Hoyos, I & Zaballa, I, 2008, 'The change of similarity invariants under row perturbations: Generic cases', Linear Algebra and its Applications, vol. 27, no. 1, pp. 325-496.
• Public

  Hermite indices and Jordan structure of a perturbed linear system: SIAM Journal on Matrix Analysis and Applications 2007

  DOI: 10.1137/060650726
  http://www.scopus.com/inward/record.url?eid=2-s2.0-42649126038&partnerID=MN8TOARS
  Baragaña, I. and Fernández, V. and Zaballa, I., (2007). "Hermite indices and Jordan structure of a perturbed linear system", SIAM Journal on Matrix Analysis and Applications, vol. 29, no. 2, pp. 455-472
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  Hermite indices and state feedback: Generic case: Linear and Multilinear Algebra 2007

  DOI: 10.1080/03081080600630584
  http://www.scopus.com/inward/record.url?eid=2-s2.0-33750850306&partnerID=MN8TOARS
  Baragaña, I. and Fernández, V. and Zaballa, I., (2007). "Hermite indices and state feedback: Generic case", Linear and Multilinear Algebra, vol. 55, no. 2, pp. 113-120
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  Local realizations and local polynomial matrix representations of systems: Linear Algebra and Its Applications 2007

  DOI: 10.1016/j.laa.2007.04.014
  http://www.scopus.com/inward/record.url?eid=2-s2.0-34447568358&partnerID=MN8TOARS
  Amparan, A. and Marcaida, S. and Zaballa, I., (2007). "Local realizations and local polynomial matrix representations of systems", Linear Algebra and Its Applications, vol. 425, no. 2-3, pp. 757-775
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  On the existence of linear systems with prescribed invariants for system similarity: Linear Algebra and Its Applications 2006

  DOI: 10.1016/j.laa.2005.05.020
  http://www.scopus.com/inward/record.url?eid=2-s2.0-31444434547&partnerID=MN8TOARS
  Amparan, A. and Marcaida, S. and Zaballa, I., (2006). "On the existence of linear systems with prescribed invariants for system similarity", Linear Algebra and Its Applications, vol. 413, no. 2-3 SPEC. ISS., pp. 510-533
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  On the geometry of the solutions of the cover problem: SIAM Journal on Control and Optimization 2006

  DOI: 10.1137/S0363012904443087
  http://www.scopus.com/inward/record.url?eid=2-s2.0-33947265322&partnerID=MN8TOARS
  Puerta, F. and Puerta, X. and Zaballa, I., (2006). "On the geometry of the solutions of the cover problem", SIAM Journal on Control and Optimization, vol. 45, no. 2, pp. 389-413
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  Preface to the 11th ILAS Conference Proceedings, Coimbra 2004: Linear Algebra and Its Applications 2006

  DOI: 10.1016/j.laa.2005.10.041
  http://www.scopus.com/inward/record.url?eid=2-s2.0-31444453930&partnerID=MN8TOARS
  De Oliveira, G. and Queiró, J.F. and Shader, B. and Zaballa, I., (2006). "Preface to the 11th ILAS Conference Proceedings, Coimbra 2004", Linear Algebra and Its Applications, vol. 413, no. 2-3 SPEC. ISS., pp. 245-246
• Public

  The change of the Jordan structure under one row perturbations May-2005

  DOI: 10.1016/j.laa.2004.02.003
  Beitia, M, de Hoyos, I & Zaballa, I, 2005, 'The change of the Jordan structure under one row perturbations', Linear Algebra and its Applications, vol. 87, pp. 113-134.
• Public

  A polynomial approach to the invariant factors assignment problem via state feedback and output injection: Linear Algebra and Its Applications 2005

  DOI: 10.1016/j.laa.2004.02.017
  http://www.scopus.com/inward/record.url?eid=2-s2.0-16444371891&partnerID=MN8TOARS
  Roca, A. and Zaballa, I., (2005). "A polynomial approach to the invariant factors assignment problem via state feedback and output injection", Linear Algebra and Its Applications, vol. 401, no. 1-3, pp. 135-158
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  Equivalence of quadruples and feedback equivalence of related pairs: Linear Algebra and Its Applications 2005

  DOI: 10.1016/j.laa.2004.09.006
  http://www.scopus.com/inward/record.url?eid=2-s2.0-16444366262&partnerID=MN8TOARS
  Beitia, M.A. and Zaballa, I., (2005). "Equivalence of quadruples and feedback equivalence of related pairs", Linear Algebra and Its Applications, vol. 401, no. 1-3, pp. 353-369
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  Hermite indices and the action of the feedback group: Linear Algebra and Its Applications 2005

  DOI: 10.1016/j.laa.2004.10.021
  http://www.scopus.com/inward/record.url?eid=2-s2.0-16444367598&partnerID=MN8TOARS
  Baragaña, I. and Fernández, V. and Zaballa, I., (2005). "Hermite indices and the action of the feedback group", Linear Algebra and Its Applications, vol. 401, no. 1-3, pp. 401-427
• Public

  On the parametrization of the controllability subspaces of a controllable pair: Linear Algebra and Its Applications 2005

  DOI: 10.1016/j.laa.2004.11.030
  http://www.scopus.com/inward/record.url?eid=2-s2.0-16344395166&partnerID=MN8TOARS
  Puerta, F. and Puerta, X. and Zaballa, I., (2005). "On the parametrization of the controllability subspaces of a controllable pair", Linear Algebra and Its Applications, vol. 401, no. 1-3, pp. 429-444
• Public

  Assignment of infinite structure to an open-loop system: Linear Algebra and Its Applications 2004

  DOI: 10.1016/S0024-3795(03)00542-1
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0742301639&partnerID=MN8TOARS
  Amparan, A. and Marcaida, S. and Zaballa, I., (2004). "Assignment of infinite structure to an open-loop system", Linear Algebra and Its Applications, vol. 379, no. 1-3 SPEC. ISS, pp. 249-266
• Public

  Feedback invariants via output injection: Linear Algebra and Its Applications 2004

  DOI: 10.1016/j.laa.2003.12.030
  http://www.scopus.com/inward/record.url?eid=2-s2.0-2542431233&partnerID=MN8TOARS
  Roca, A. and Zaballa, I., (2004). "Feedback invariants via output injection", Linear Algebra and Its Applications, vol. 385, no. 1-3, pp. 407-442
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  Hermite indices and equivalence relations: Linear Algebra and Its Applications 2004

  DOI: 10.1016/S0024-3795(03)00477-4
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0742285654&partnerID=MN8TOARS
  Baragaña, I. and Fernández, V. and Zaballa, I., (2004). "Hermite indices and equivalence relations", Linear Algebra and Its Applications, vol. 379, no. 1-3 SPEC. ISS, pp. 201-211
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  Invariant factors, Wiener-Hopf factorization indices, and invariant factors at infinity of rational matrices: Linear and Multilinear Algebra 2004

  DOI: 10.1080/0308108042000223638
  http://www.scopus.com/inward/record.url?eid=2-s2.0-10444289900&partnerID=MN8TOARS
  Marcaida, S. and Zaballa, I., (2004). "Invariant factors, Wiener-Hopf factorization indices, and invariant factors at infinity of rational matrices", Linear and Multilinear Algebra, vol. 52, no. 6, pp. 427-439
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  Wiener-hopf factorization indices and infinite structure of rational matrices: SIAM Journal on Control and Optimization 2004

  DOI: 10.1137/S0363012902402591
  http://www.scopus.com/inward/record.url?eid=2-s2.0-10244250463&partnerID=MN8TOARS
  Amparan, A. and Marcaida, S. and Zaballa, I., (2004). "Wiener-hopf factorization indices and infinite structure of rational matrices", SIAM Journal on Control and Optimization, vol. 42, no. 6, pp. 2130-2144
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  Feedback invariants of a pair of matrices with prescribed columns Aug-2001

  DOI: 10.1016/S0024-3795(01)00307-X
  Cabral, I, Silva, F & Zaballa, I, 2001, 'Feedback invariants of a pair of matrices with prescribed columns', Linear Algebra and its Applications, vol. 292, pp. 73-458.
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  A coordinate atlas of the manifold of observable conditioned invariant subspaces: International Journal of Control 2001

  DOI: 10.1080/00207170110062571
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0035883081&partnerID=MN8TOARS
  Puerta, F. and Puerta, X. and Zaballa, I., (2001). "A coordinate atlas of the manifold of observable conditioned invariant subspaces", International Journal of Control, vol. 74, no. 12, pp. 1226-1238
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  Feedback invariants of restrictions - a polynomial approach: Automatica 2001

  DOI: 10.1016/S0005-1098(00)00152-7
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0035152157&partnerID=MN8TOARS
  Zaballa, I., (2001). "Feedback invariants of restrictions - a polynomial approach", Automatica, vol. 37, no. 2, pp. 185-195
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  Invariant factor assignment under state feedback and output injection: Linear Algebra and Its Applications 2001

  DOI: 10.1016/S0024-3795(01)00290-7
  http://www.scopus.com/inward/record.url?eid=2-s2.0-0035427198&partnerID=MN8TOARS
  Roca, A. and Zaballa, I., (2001). "Invariant factor assignment under state feedback and output injection", Linear Algebra and Its Applications, vol. 332-334, pp. 401-436
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  Characterization of the Hermite indices of the pair (A + BF, B): Proceedings of the IEEE Conference on Decision and Control 2000

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0034440039&partnerID=MN8TOARS
  Baragaña, I. and Fernańndez, V. and Zaballa, I., (2000). "Characterization of the Hermite indices of the pair (A + BF, B)", Proceedings of the IEEE Conference on Decision and Control, vol. 2, pp. 1966-1967
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  Linear systems with prescribed similarity structural invariants: Proceedings of the IEEE Conference on Decision and Control 2000

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0034438633&partnerID=MN8TOARS
  Baragaña, I. and Fernández, V. and Zaballa, I., (2000). "Linear systems with prescribed similarity structural invariants", Proceedings of the IEEE Conference on Decision and Control, vol. 2, pp. 1974-1978
• Public

  Linear systems with prescribed similarity structural invariants: SIAM Journal on Control and Optimization 2000

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0343390460&partnerID=MN8TOARS
  Baragaña, I. and Ferńandez, V. and Zaballa, I., (2000). "Linear systems with prescribed similarity structural invariants", SIAM Journal on Control and Optimization, vol. 38, no. 4, pp. 1033-1049
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  Feedback invariants of matrix quadruple completions: Linear Algebra and Its Applications 1999

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0033445430&partnerID=MN8TOARS
  Zaballa, I., (1999). "Feedback invariants of matrix quadruple completions", Linear Algebra and Its Applications, vol. 292, no. 1-3, pp. 73-97
• Public

  Feedback invariants of pairs of matrices and restrictions: Linear and Multilinear Algebra 1999

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0006466999&partnerID=MN8TOARS
  Baragaña, I. and Zaballa, I., (1999). "Feedback invariants of pairs of matrices and restrictions", Linear and Multilinear Algebra, vol. 46, no. 1-2, pp. 101-116
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  Assigning the Kronecker invariants of a matrix pencil by row or column completions: Linear Algebra and Its Applications 1998

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0347065386&partnerID=MN8TOARS
  Loiseau, J.J. and Mondié, S. and Zaballa, I. and Zagalak, P., (1998). "Assigning the Kronecker invariants of a matrix pencil by row or column completions", Linear Algebra and Its Applications, vol. 278, no. 1-3, pp. 327-336
• Public

  Restricted invariant factor assignment under state-feedback: Linear Algebra and Its Applications 1998

  http://www.scopus.com/inward/record.url?eid=2-s2.0-17444434986&partnerID=MN8TOARS
  Roca, A. and Zaballa, I., (1998). "Restricted invariant factor assignment under state-feedback", Linear Algebra and Its Applications, vol. 275-276, pp. 509-529
• Public

  Controllability and Hermite indices of matrix pairs Jan-1997

  DOI: 10.1080/002071797223730
  Zaballa, I, 1997, 'Controllability and Hermite indices of matrix pairs', International Journal of Control, vol. 68, no. 1, pp. 61-86.
• Public

  Feedback invariants of supplementary pairs of matrices: Automatica 1997

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0031362026&partnerID=MN8TOARS
  Baragaña, I. and Zaballa, I., (1997). "Feedback invariants of supplementary pairs of matrices", Automatica, vol. 33, no. 12, pp. 2119-2130
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  Block similarity invariants of restrictions to (A, B)-invariant subspaces: Linear Algebra and Its Applications 1995

  http://www.scopus.com/inward/record.url?eid=2-s2.0-21844496364&partnerID=MN8TOARS
  Baragan ̃a, I. and Zaballa, I., (1995). "Block similarity invariants of restrictions to (A, B)-invariant subspaces", Linear Algebra and Its Applications, vol. 220, no. C, pp. 31-62
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  Invariants of the block tensor product: Linear Algebra and Its Applications 1994

  http://www.scopus.com/inward/record.url?eid=2-s2.0-50749132668&partnerID=MN8TOARS
  Beitia, M. and Zaballa, I., (1994). "Invariants of the block tensor product", Linear Algebra and Its Applications, vol. 197-198, no. C, pp. 589-622
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  Similarity and block similarity: Linear Algebra and Its Applications 1994

  http://www.scopus.com/inward/record.url?eid=2-s2.0-21844508092&partnerID=MN8TOARS
  Zaballa, I., (1994). "Similarity and block similarity", Linear Algebra and Its Applications, vol. 212-213, no. C, pp. 461-485
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  Column completion of a pair of matrices Aug-1990

  DOI: 10.1080/03081089008818016
  Baragaña, I & Zaballa, I, 1990, 'Column completion of a pair of matrices', Linear and Multilinear Algebra, vol. 6, no. 4, pp. 173-273.
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  Characterization of feedback equivalance: SIAM Journal on Control and Optimization 1990

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0025483244&partnerID=MN8TOARS
  Gracia, J.M. and De Hoyos, I. and Zaballa, I., (1990). "Characterization of feedback equivalance", SIAM Journal on Control and Optimization, vol. 28, no. 5, pp. 1103-1112
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  Perturbation of linear control systems Aug-1989

  DOI: 10.1016/0024-3795(89)90710-6
  Gracia, J, de Hoyos, I & Zaballa, I, 1989, 'Perturbation of linear control systems', Linear Algebra and its Applications, vol. 101, no. 6, pp. 9-383.
• Public

  Invariant Factor Assignment on Higher-Order Systems Using State-Feedback Apr-1989

  DOI: 10.1137/0610011
  Zaballa, I, 1989, 'Invariant Factor Assignment on Higher-Order Systems Using State-Feedback', SIAM Journal on Matrix Analysis and Applications, vol. 10, no. 2, pp. 73-154.
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  Factorization of the matrix polynomial A(λ) = A0λt + A1λt-1 + ⋯ + At-1λ + At: Linear Algebra and Its Applications 1989

  http://www.scopus.com/inward/record.url?eid=2-s2.0-45249127623&partnerID=MN8TOARS
  Beitia, M. and Zaballa, I., (1989). "Factorization of the matrix polynomial A(λ) = A0λt + A1λt-1 + ⋯ + At-1λ + At", Linear Algebra and Its Applications, vol. 121, no. C, pp. 423-432
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  Interlacing and majorization in invariant factor assignment problems: Linear Algebra and Its Applications 1989

  http://www.scopus.com/inward/record.url?eid=2-s2.0-38249024397&partnerID=MN8TOARS
  Zaballa, I., (1989). "Interlacing and majorization in invariant factor assignment problems", Linear Algebra and Its Applications, vol. 121, no. C, pp. 409-421
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  Interlacing inequalities and control theory Apr-1988

  DOI: 10.1016/0024-3795(88)90140-1
  Zaballa, I, 1988, 'Interlacing inequalities and control theory', Linear Algebra and its Applications, vol. 87, no. 2, pp. 113-31.
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  Matrices with prescribed rows and invariant factors Mar-1987

  DOI: 10.1016/0024-3795(87)90162-5
  Zaballa, I, 1987, 'Matrices with prescribed rows and invariant factors', Linear Algebra and its Applications, vol. 78, no. 2, pp. 256-146.
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  Existence of matrices with prescribed entries: Linear Algebra and Its Applications 1986

  http://www.scopus.com/inward/record.url?eid=2-s2.0-0347808303&partnerID=MN8TOARS
  Zaballa, I., (1986). "Existence of matrices with prescribed entries", Linear Algebra and Its Applications, vol. 73, no. C, pp. 227-280

Grants

Patents