1

An Easy Approach to Distributions and Operational Calculus

Lomadze, Vakhtang
Journal:
Zeitschrift für Analysis und ihre Anwendungen
Year:
2018
Language:
english
File:
PDF, 195 KB
english, 2018
2

On duality for partial differential (and difference) equations

Vakhtang Lomadze
Journal:
Journal of Algebra
Year:
2004
Language:
english
File:
PDF, 192 KB
english, 2004
3

When are linear differentiation-invariant spaces differential?

Vakhtang Lomadze
Journal:
Linear Algebra and its Applications
Year:
2007
Language:
english
File:
PDF, 174 KB
english, 2007
4

Axiomatic characterization of linear differential systems (and operators)

Vakhtang Lomadze
Journal:
Automatica
Year:
2012
Language:
english
File:
PDF, 248 KB
english, 2012
5

Controllability as Minimality

Lomadze, Vakhtang
Journal:
SIAM Journal on Control and Optimization
Year:
2012
Language:
english
File:
PDF, 179 KB
english, 2012
6

Duality in the behavioral systems theory

Lomadze, Vakhtang
Journal:
Automatica
Year:
2013
Language:
english
File:
PDF, 374 KB
english, 2013
7

The PBH test for multidimensional LTID systems

Lomadze, Vakhtang
Journal:
Automatica
Year:
2013
Language:
english
File:
PDF, 376 KB
english, 2013
8

Polynomial solutions to linear PDEs with constant coefficients

Lomadze, Vakhtang
Journal:
Georgian Mathematical Journal
Year:
2019
Language:
english
File:
PDF, 604 KB
english, 2019
9

State and internal variables for linear systems

Vakhtang Lomadze
Journal:
Linear Algebra and its Applications
Year:
2007
Language:
english
File:
PDF, 166 KB
english, 2007
10

Linear systems with locally integrable trajectories

M. Saeed Akram, Vakhtang Lomadze
Journal:
Linear Algebra and its Applications
Year:
2009
Language:
english
File:
PDF, 162 KB
english, 2009
11

How to define the dual of a higher-dimensional linear system

Vakhtang Lomadze
Journal:
Linear Algebra and its Applications
Year:
2009
Language:
english
File:
PDF, 195 KB
english, 2009
12

Smooth/impulsive linear systems: Axiomatic description

Vakhtang Lomadze, Hasan Mahmood
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 190 KB
english, 2010
13

First order representations of Fliess models

Vakhtang Lomadze, M. Khurram Zafar
Journal:
Linear Algebra and its Applications
Year:
2011
Language:
english
File:
PDF, 300 KB
english, 2011
14

On some basics of linear systems theory

M. Saeed Akram, Vakhtang Lomadze
Journal:
Systems & Control Letters
Year:
2009
Language:
english
File:
PDF, 1.21 MB
english, 2009
15

Relative completeness and specifiedness properties of continuous linear dynamical systems

Vakhtang Lomadze
Journal:
Systems & Control Letters
Year:
2010
Language:
english
File:
PDF, 270 KB
english, 2010
16

Linear constant coefficient differential (or difference) equations

Vakhtang Lomadze
Journal:
Journal of Pure and Applied Algebra
Year:
2000
Language:
english
File:
PDF, 105 KB
english, 2000
17

Rosenbrock models and their homotopy equivalence

Vakhtang Lomadze
Journal:
Linear Algebra and its Applications
Year:
2002
Language:
english
File:
PDF, 97 KB
english, 2002
18

Applications of vector bundles to factorization of rational matrices

Vakhtang Lomadze
Journal:
Linear Algebra and its Applications
Year:
1999
Language:
english
File:
PDF, 774 KB
english, 1999
19

Linear system theory: An algebraist's point of view

Vakhtang Lomadze
Journal:
Systems & Control Letters
Year:
1996
Language:
english
File:
PDF, 441 KB
english, 1996
20

Fractional representations of linear systems

Vakhtang Lomadze, Eva Zerz
Journal:
Systems & Control Letters
Year:
2000
Language:
english
File:
PDF, 104 KB
english, 2000
21

Singular Linear Behaviors and Their AR-Representations

Vakhtang Lomadze
Journal:
Mathematics of Control, Signals, and Systems (MCSS)
Year:
2001
Language:
english
File:
PDF, 170 KB
english, 2001
22

Convolutional Codes and Coherent Sheaves

Vakhtang Lomadze
Journal:
Applicable Algebra in Engineering, Communication and Computing
Year:
2001
Language:
english
File:
PDF, 298 KB
english, 2001
23

On Homotopy and Similarity in Linear Systems Theory

Vakhtang Lomadze
Journal:
Acta Applicandae Mathematicae
Year:
2011
Language:
english
File:
PDF, 621 KB
english, 2011
24

A note on interconnections

Vakhtang Lomadze
Journal:
Applied Mathematics Letters
Year:
2011
Language:
english
File:
PDF, 203 KB
english, 2011
25

A Behavioral Approach to Singular Systems

Vakhtang Lomadze, M. S. Ravi, Joachim Rosenthal, J. M. Schumacher
Journal:
Acta Applicandae Mathematicae
Year:
1998
Language:
english
File:
PDF, 110 KB
english, 1998
26

Rational differential operators and their kernels

Vakhtang Lomadze
Journal:
Linear Algebra and its Applications
Year:
2011
Language:
english
File:
PDF, 250 KB
english, 2011
27

Behaviors and symbols of rational matrices

Vakhtang Lomadze
Journal:
Systems & Control Letters
Year:
2012
Language:
english
File:
PDF, 263 KB
english, 2012
28

Lifting discrete trajectories

Vakhtang Lomadze
Journal:
Applied Mathematics Letters
Year:
2012
Language:
english
File:
PDF, 219 KB
english, 2012
29

Linear Systems and Taylor Complexes

Lomadze, Vakhtang
Journal:
SIAM Journal on Control and Optimization
Year:
2012
Language:
english
File:
PDF, 188 KB
english, 2012
30

A note on Ehrenpreis’ fundamental principle

Lomadze, Vakhtang
Journal:
Linear Algebra and its Applications
Year:
2013
Language:
english
File:
PDF, 224 KB
english, 2013
31

``Reduced Polynomial Matrices” in Several Variables

Lomadze, Vakhtang
Journal:
SIAM Journal on Control and Optimization
Year:
2013
Language:
english
File:
PDF, 215 KB
english, 2013
32

Characterization of linear differential systems (in several variables)

Lomadze, Vakhtang
Journal:
Systems & Control Letters
Year:
2014
Language:
english
File:
PDF, 360 KB
english, 2014
33

Smooth/impulsive linear systems: controllability

Lomadze, Vakhtang, Mahmood, Hasan
Journal:
International Journal of Control
Year:
2011
Language:
english
File:
PDF, 200 KB
english, 2011
34

State representations of ARMA-models

Lomadze, Vakhtang
Journal:
International Journal of Control
Year:
2010
Language:
english
File:
PDF, 140 KB
english, 2010
35

ARMA-models and their equivalences

Lomadze, Vakhtang
Journal:
International Journal of Control
Year:
2009
Language:
english
File:
PDF, 136 KB
english, 2009
36

Linear systems, and ARMA- and Fliess models

Lomadze, Vakhtang, Khurram Zafar, M.
Journal:
International Journal of Control
Year:
2010
Language:
english
File:
PDF, 220 KB
english, 2010
37

(Generalised) autoregressive models and their trajectories

Lomadze, Vakhtang
Journal:
International Journal of Control
Year:
2009
Language:
english
File:
PDF, 157 KB
english, 2009
38

On the regular feedback interconnection problem

Lomadze, Vakhtang
Journal:
International Journal of Control
Year:
2006
Language:
english
File:
PDF, 133 KB
english, 2006
39

Taylor approximations of multidimensional linear differential systems

Lomadze, Vakhtang
Journal:
International Journal of Control
Year:
2015
Language:
english
File:
PDF, 456 KB
english, 2015
40

Converting high order linear PDEs to first order

Lomadze, Vakhtang
Journal:
Systems & Control Letters
Year:
2016
Language:
english
File:
PDF, 358 KB
english, 2016
41

Proper representations of (multivariate) linear differential systems

Lomadze, Vakhtang
Journal:
Systems & Control Letters
Year:
2016
Language:
english
File:
PDF, 376 KB
english, 2016
42

On the reduction of high order linear PDEs to first order

Lomadze, Vakhtang
Journal:
Linear Algebra and its Applications
Year:
2017
Language:
english
File:
PDF, 296 KB
english, 2017
43

On the Wiener–Hopf factorization of rational matrices

Lomadze, Vakhtang
Journal:
Transactions of A. Razmadze Mathematical Institute
Year:
2017
Language:
english
File:
PDF, 289 KB
english, 2017
44

Converting high order linear PDEs to first order: Noncommutative case

Lomadze, Vakhtang
Journal:
Systems & Control Letters
Year:
2017
Language:
english
File:
PDF, 368 KB
english, 2017
45

The predictable degree property and minimality in multidimensional convolutional coding

Lomadze, Vakhtang
Journal:
Discrete Mathematics
Year:
2019
Language:
english
File:
PDF, 292 KB
english, 2019