Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables
From MaRDI portal
Publication:2241298
DOI10.1007/s11785-021-01150-2OpenAlexW3211232715MaRDI QIDQ2241298
Publication date: 8 November 2021
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.08088
Related Items (2)
Effective operators and their variational principles for discrete electrical network problems ⋮ Matrix monotonicity and concavity of the principal pivot transform
Cites Work
- Notes on minimal realizations of multidimensional systems
- Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula
- A direct-construction approach to multidimensional realization and LFR uncertainty modeling
- Multidimensional circuit synthesis and multivariable dilation theory
- Noncommutative convexity arises from linear matrix inequalities
- Factorization of matrix and operator functions. The state space method
- Padé techniques for model reduction in linear system theory: a survey
- Multicomponent composites, electrical networks and new types of continued fraction. I
- Multicomponent composites, electrical networks and new types of continued fraction. II
- Minimal factorization of matrix and operator functions
- State space theory of automorphisms of rational matrix functions
- Matrices de Hankel
- Characterization of operations derived from network connections
- Time-invariant descriptor systems
- \(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization
- The two-sided residue interpolation in the Stieltjes class of matrix functions
- Applications of realizations (aka linearizations) to free probability
- The Schur complement and its applications
- Principal pivot transforms: Properties and applications
- A short proof of the symmetric determinantal representation of polynomials
- A realization theorem for rational functions of several complex variables
- Right and Left Joint System Representation of a Rational Matrix Function in General Position (System Representation Theory for Dummies)
- Mathematical and physical aspects of complex symmetric operators
- Minimal state-space realization for a class of linear, discrete, nD, SISO systems
- Structured Noncommutative Multidimensional Linear Systems
- Michel Fliess and non-commutative formal power series†
- On first-order equations for multidimensional filters
- Shorted Operators. II
- A discrete state-space model for linear image processing
- State-space realization theory of two-dimensional filters
- Dynamic equations in descriptor form
- Doubly-indexed dynamical systems: State-space models and structural properties
- Wang algebra and matroids
- A Normal Form in Free Fields
- On Realizations of Rational Matrix Functions of Several Complex Variables
- ON THE CONSTRUCTION OF THE FREE FIELD
- The Theory of Composites
- Composite Materials
- J-EXPANDING MATRIX FUNCTIONS AND THEIR ROLE IN THE ANALYTICAL THEORY OF ELECTRICAL CIRCUITS
- Regular and positive noncommutative rational functions
- A note on characterization of the shorted operation
- Controllability and Observability in Multivariable Control Systems
- Mathematical Description of Linear Dynamical Systems
- The Degree of a Rational Matrix Function
- Network Synthesis Through Hybrid Matrices
- Irreducible Realizations and the Degree of a Rational Matrix
- Shorted Operators
- Multidimensional Linear Iterative Circuits—General Properties
- Minimization of Multidimensional Linear Iterative Circuits
- An Analysis of the Wang Algebra of Networks
- On the Algebra of Networks
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables