Edit Profile (opens in new tab) Lomadze, Vakhtang Co-Author Distance Author ID: lomadze.vakhtang Published as: Lomadze, Vakhtang; Lomadze, V. Documents Indexed: 68 Publications since 1994, including 2 Additional arXiv Preprints Co-Authors: 9 Co-Authors with 12 Joint Publications 260 Co-Co-Authors all top 5 Co-Authors 53 single-authored 5 Akram, Muhammad Saeed 5 Mahmood, Hasan 4 Zafar, M. Khurram 3 Zerz, Eva 2 Rogers, Eric 2 Wood, Jeffrey James 1 Ravi, M. S. 1 Rosenthal, Joachim 1 Schumacher, Johannes M. 1 Zafar, K. all top 5 Serials 11 International Journal of Control 11 Linear Algebra and its Applications 10 Systems & Control Letters 7 Georgian Mathematical Journal 6 SIAM Journal on Control and Optimization 3 Automatica 2 Discrete Mathematics 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applicable Algebra in Engineering, Communication and Computing 1 Functional Differential Equations 1 Bulletin of the Georgian Academy of Sciences 1 Proceedings of A. Razmadze Mathematical Institute 1 Journal of Algebra and its Applications 1 Transactions of A. Razmadze Mathematical Institute all top 5 Fields 53 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 5 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 5 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 125 times in 63 Documents Cited by ▼ Year ▼ A constructive solution to interconnection and decomposition problems with multidimensional behaviors. Zbl 1030.93012 Zerz, E.; Lomadze, V. 19 2001 When are linear differentiation-invariant spaces differential? Zbl 1136.93002 Lomadze, Vakhtang 16 2007 State and internal variables for linear systems. Zbl 1124.93007 Lomadze, Vakhtang 7 2007 Applications of vector bundles to factorization of rational matrices. Zbl 1057.14501 Lomadze, Vakhtang 6 1999 On duality for partial differential (and difference) equations. Zbl 1099.13517 Lomadze, Vakhtang 6 2004 Fractional representations of linear systems. Zbl 0948.93026 Lomadze, V.; Zerz, E. 5 2000 ARMA-models and their equivalences. Zbl 1175.93057 Lomadze, Vakhtang 5 2009 Smooth/impulsive linear systems: axiomatic description. Zbl 1207.93001 Lomadze, Vakhtang; Mahmood, Hasan 5 2010 Duality in the behavioral systems theory. Zbl 1319.93012 Lomadze, Vakhtang 4 2013 The PBH test for multidimensional LTID systems. Zbl 1364.93070 Lomadze, Vakhtang 4 2013 On the regular feedback interconnection problem. Zbl 1101.93036 Lomadze, Vakhtang 4 2006 “Reduced polynomial matrices” in several variables. Zbl 1275.93025 Lomadze, Vakhtang 4 2013 (Generalised) autoregressive models and their trajectories. Zbl 1178.93096 Lomadze, Vakhtang 4 2009 Proper representations of (multivariate) linear differential systems. Zbl 1344.93018 Lomadze, Vakhtang 3 2016 Converting high order linear PDEs to first order. Zbl 1344.93033 Lomadze, Vakhtang 3 2016 Control and interconnection revisited: The linear multidimensional case. Zbl 0990.93057 Lomadze, V.; Zerz, E. 3 2000 Singular linear behaviors and their AR-representations. Zbl 0995.93015 Lomadze, Vakhtang 3 2001 On some basics of linear systems theory. Zbl 1155.93361 Akram, M. Saeed; Lomadze, Vakhtang 3 2009 Linear systems with locally integrable trajectories. Zbl 1159.93008 Saeed Akram, M.; Lomadze, Vakhtang 3 2009 Singular 2D behaviors: Fornasini-Marchesini and Givone-Roesser models. Zbl 1163.93013 Lomadze, Vakhtang; Rogers, Eric; Wood, Jeffrey 3 2009 Relative completeness and specifiedness properties of continuous linear dynamical systems. Zbl 1206.34016 Lomadze, Vakhtang 3 2010 A behavioral approach to singular systems. Zbl 0916.93008 Lomadze, Vakhtang; Ravi, M. S.; Rosenthal, Joachim; Schumacher, J. M. 2 1998 Rosenbrock models and their homotopy equivalence. Zbl 1031.93059 Lomadze, Vakhtang 2 2002 Linear constant coefficient differential (or difference) equations. Zbl 0984.44011 Lomadze, Vakhtang 2 2000 Convolutional codes and coherent sheaves. Zbl 0990.94030 Lomadze, Vakhtang 2 2001 Characterization of linear differential systems (in several variables). Zbl 1288.93050 Lomadze, Vakhtang 2 2014 On homotopy and similarity in linear systems theory. Zbl 1226.93040 Lomadze, Vakhtang 2 2011 Controllability as minimality. Zbl 1242.93018 Lomadze, Vakhtang 2 2012 Axiomatic characterization of linear differential systems (and operators). Zbl 1246.93061 Lomadze, Vakhtang 2 2012 Linear systems and Taylor complexes. Zbl 1251.93046 Lomadze, Vakhtang 2 2012 How to define the dual of a higher-dimensional linear system. Zbl 1171.93008 Lomadze, Vakhtang 2 2009 Linear system theory: An algebraist’s point of view. Zbl 0883.93015 Lomadze, Vakhtang 2 1996 Polynomial solutions to linear PDEs with constant coefficients. Zbl 1418.35073 Lomadze, Vakhtang 2 2019 Rational differential operators and their kernels. Zbl 1221.93056 Lomadze, Vakhtang 2 2011 Linear systems, and ARMA- and Fliess models. Zbl 1206.37008 Lomadze, Vakhtang; Zafar, M. Khurram 2 2010 A note on Ehrenpreis’ fundamental principle. Zbl 1257.93053 Lomadze, Vakhtang 2 2013 An easy approach to distributions and operational calculus. Zbl 1390.44015 Lomadze, Vakhtang 1 2018 Linear dynamical systems: an axiomatic approach. Zbl 1136.93300 Lomadze, V. 1 2002 Time-varying linear dynamical systems. Zbl 0967.93020 Lomadze, V. 1 1999 The predictable degree property and minimality in multidimensional convolutional coding. Zbl 1408.94985 Lomadze, Vakhtang 1 2019 Linear dynamical system: compactness theorem. Zbl 0822.93037 Lomadze, V. 1 1994 A note on interconnections. Zbl 1228.93033 Lomadze, Vakhtang 1 2011 Lifting discrete trajectories. Zbl 1252.93040 Lomadze, Vakhtang 1 2012 Smooth/impulsive linear systems: controllability. Zbl 1245.93020 Lomadze, Vakhtang; Mahmood, Hasan 1 2011 Continuous dependence of linear differential systems on polynomial modules. Zbl 1455.93032 Lomadze, Vakhtang 1 2020 State representations of ARMA-models. Zbl 1214.34051 Lomadze, Vakhtang 1 2010 Behaviors and symbols of rational matrices. Zbl 1250.93045 Lomadze, Vakhtang 1 2012 Singular 2D behaviors: Homologies. Zbl 1141.93021 Lomadze, Vakhtang; Rogers, Eric; Wood, Jeffrey 1 2008 Continuous dependence of linear differential systems on polynomial modules. Zbl 1455.93032 Lomadze, Vakhtang 1 2020 Polynomial solutions to linear PDEs with constant coefficients. Zbl 1418.35073 Lomadze, Vakhtang 2 2019 The predictable degree property and minimality in multidimensional convolutional coding. Zbl 1408.94985 Lomadze, Vakhtang 1 2019 An easy approach to distributions and operational calculus. Zbl 1390.44015 Lomadze, Vakhtang 1 2018 Proper representations of (multivariate) linear differential systems. Zbl 1344.93018 Lomadze, Vakhtang 3 2016 Converting high order linear PDEs to first order. Zbl 1344.93033 Lomadze, Vakhtang 3 2016 Characterization of linear differential systems (in several variables). Zbl 1288.93050 Lomadze, Vakhtang 2 2014 Duality in the behavioral systems theory. Zbl 1319.93012 Lomadze, Vakhtang 4 2013 The PBH test for multidimensional LTID systems. Zbl 1364.93070 Lomadze, Vakhtang 4 2013 “Reduced polynomial matrices” in several variables. Zbl 1275.93025 Lomadze, Vakhtang 4 2013 A note on Ehrenpreis’ fundamental principle. Zbl 1257.93053 Lomadze, Vakhtang 2 2013 Controllability as minimality. Zbl 1242.93018 Lomadze, Vakhtang 2 2012 Axiomatic characterization of linear differential systems (and operators). Zbl 1246.93061 Lomadze, Vakhtang 2 2012 Linear systems and Taylor complexes. Zbl 1251.93046 Lomadze, Vakhtang 2 2012 Lifting discrete trajectories. Zbl 1252.93040 Lomadze, Vakhtang 1 2012 Behaviors and symbols of rational matrices. Zbl 1250.93045 Lomadze, Vakhtang 1 2012 On homotopy and similarity in linear systems theory. Zbl 1226.93040 Lomadze, Vakhtang 2 2011 Rational differential operators and their kernels. Zbl 1221.93056 Lomadze, Vakhtang 2 2011 A note on interconnections. Zbl 1228.93033 Lomadze, Vakhtang 1 2011 Smooth/impulsive linear systems: controllability. Zbl 1245.93020 Lomadze, Vakhtang; Mahmood, Hasan 1 2011 Smooth/impulsive linear systems: axiomatic description. Zbl 1207.93001 Lomadze, Vakhtang; Mahmood, Hasan 5 2010 Relative completeness and specifiedness properties of continuous linear dynamical systems. Zbl 1206.34016 Lomadze, Vakhtang 3 2010 Linear systems, and ARMA- and Fliess models. Zbl 1206.37008 Lomadze, Vakhtang; Zafar, M. Khurram 2 2010 State representations of ARMA-models. Zbl 1214.34051 Lomadze, Vakhtang 1 2010 ARMA-models and their equivalences. Zbl 1175.93057 Lomadze, Vakhtang 5 2009 (Generalised) autoregressive models and their trajectories. Zbl 1178.93096 Lomadze, Vakhtang 4 2009 On some basics of linear systems theory. Zbl 1155.93361 Akram, M. Saeed; Lomadze, Vakhtang 3 2009 Linear systems with locally integrable trajectories. Zbl 1159.93008 Saeed Akram, M.; Lomadze, Vakhtang 3 2009 Singular 2D behaviors: Fornasini-Marchesini and Givone-Roesser models. Zbl 1163.93013 Lomadze, Vakhtang; Rogers, Eric; Wood, Jeffrey 3 2009 How to define the dual of a higher-dimensional linear system. Zbl 1171.93008 Lomadze, Vakhtang 2 2009 Singular 2D behaviors: Homologies. Zbl 1141.93021 Lomadze, Vakhtang; Rogers, Eric; Wood, Jeffrey 1 2008 When are linear differentiation-invariant spaces differential? Zbl 1136.93002 Lomadze, Vakhtang 16 2007 State and internal variables for linear systems. Zbl 1124.93007 Lomadze, Vakhtang 7 2007 On the regular feedback interconnection problem. Zbl 1101.93036 Lomadze, Vakhtang 4 2006 On duality for partial differential (and difference) equations. Zbl 1099.13517 Lomadze, Vakhtang 6 2004 Rosenbrock models and their homotopy equivalence. Zbl 1031.93059 Lomadze, Vakhtang 2 2002 Linear dynamical systems: an axiomatic approach. Zbl 1136.93300 Lomadze, V. 1 2002 A constructive solution to interconnection and decomposition problems with multidimensional behaviors. Zbl 1030.93012 Zerz, E.; Lomadze, V. 19 2001 Singular linear behaviors and their AR-representations. Zbl 0995.93015 Lomadze, Vakhtang 3 2001 Convolutional codes and coherent sheaves. Zbl 0990.94030 Lomadze, Vakhtang 2 2001 Fractional representations of linear systems. Zbl 0948.93026 Lomadze, V.; Zerz, E. 5 2000 Control and interconnection revisited: The linear multidimensional case. Zbl 0990.93057 Lomadze, V.; Zerz, E. 3 2000 Linear constant coefficient differential (or difference) equations. Zbl 0984.44011 Lomadze, Vakhtang 2 2000 Applications of vector bundles to factorization of rational matrices. Zbl 1057.14501 Lomadze, Vakhtang 6 1999 Time-varying linear dynamical systems. Zbl 0967.93020 Lomadze, V. 1 1999 A behavioral approach to singular systems. Zbl 0916.93008 Lomadze, Vakhtang; Ravi, M. S.; Rosenthal, Joachim; Schumacher, J. M. 2 1998 Linear system theory: An algebraist’s point of view. Zbl 0883.93015 Lomadze, Vakhtang 2 1996 Linear dynamical system: compactness theorem. Zbl 0822.93037 Lomadze, V. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 40 Authors 40 Lomadze, Vakhtang 6 Akram, Muhammad Saeed 5 Mahmood, Hasan 4 Zafar, M. Khurram 3 Shankar, Shiva 2 Belur, Madhu N. 2 Iglesias Curto, José Ignacio 2 Walczak, Stanislaw 2 Zerz, Eva 1 Ait El Manssour, Rida 1 Aleixo, José Carlos 1 Bartkiewicz, Monika 1 Blumthaler, Ingrid 1 Bors, Dorota 1 Delvenne, Jean-Charles 1 Härkönen, Marc 1 Ikuta, Akira 1 Kawano, Yu 1 Majewski, Marek 1 Malanchuk, Oksana Mykhailivna 1 Muñoz Castañeda, Ángel Luis 1 Muñoz Porras, José María 1 Nytrebych, Zinovii Mykolaiovych 1 Ohtsuka, Toshiyuki 1 Orimoto, H. 1 Pal, Debasattam 1 Parveen, Saima 1 Plaza Martín, Francisco José 1 Reis, Timo 1 Rocha, Paula 1 Siddique, Nazmul H. 1 Sturmfels, Bernd 1 Treanţă, Savin 1 Trenn, Stephan 1 Vinjamoor, Harsh Giridhargopal 1 Willems, Jan Camiel 1 Wyman, Bostwick F. 1 Yamamoto, Yutaka 1 Yekutieli, Amnon 1 Zafar, K. all top 5 Cited in 18 Serials 14 International Journal of Control 14 Linear Algebra and its Applications 9 Systems & Control Letters 5 Automatica 3 MCSS. Mathematics of Control, Signals, and Systems 2 Discrete Mathematics 2 SIAM Journal on Control and Optimization 2 Multidimensional Systems and Signal Processing 1 Glasgow Mathematical Journal 1 Mathematica Slovaca 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Applicable Algebra in Engineering, Communication and Computing 1 Georgian Mathematical Journal 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Algebra and its Applications 1 Fuzzy Information and Engineering 1 Transactions of A. Razmadze Mathematical Institute all top 5 Cited in 16 Fields 49 Systems theory; control (93-XX) 8 Partial differential equations (35-XX) 5 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 4 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) Citations by Year