4 papers
KW-models for (multivariate) linear differential systems
Vakhtang Lomadze
A class of state models, called Kronecker-Weierstrass models (or, simply, KW-models), is introduced, and the state representation problem for linear differential systems is studied…
An elementary purely algebraic approach to generalized functions and operational calculus
Vakhtang Lomadze
The space of Schwartz distributions of finite order is represented as a factor space of the space of, what we call, Mikusinski functions. The point of Mikusinski functions is that…
Differential equations defined on algebraic curves
Vakhtang Lomadze
The class of ordinary linear constant coefficient differential equations is naturally embedded into a wider class by associating differential equations to algebraic curves.
The predictable degree property, column reducedness, and minimality in multidimensional convolutional coding
Vakhtang Lomadze
Higher-dimensional analogs of the predictable degree property and column reducedness are defined, and it is proved that the two properties are equivalent. It is shown that every mu…