On the state of behaviors (2007)
Fuhrmann, Paul A., Rapisarda, Paolo, Yamamoto, Yutaka
The theme of the present paper is the study of the concept of state and the corresponding state maps in the context of Willems’ behavioral theory. We concentrate on Markovian system and their...
On the state of behaviors (2007)
Fuhrmann, Paul A., Rapisarda, Paolo, Yamamoto, Yutaka
The theme of the present paper is the study of the concept of state and the corresponding state maps in the context of Willems’ behavioral theory. We concentrate on Markovian system and their...
Necessary and sufficient conditions for the existence of meromorphic pseudo-continuations of bounded type for bounded operator-valued analytic functions in the unit disc are given in terms of the...
On the state of behaviors (2006)
Fuhrmann, Paul A., Rapisarda, Paolo, Yamamoto, Yutaka
The theme of the present paper is the study of the concept of state and the corresponding state maps in the context of Willems’ behavioral theory. We concentrate on Markovian system and their...
In this paper, we explore the connection between the classic, input output based theory of observers for linear functions of the state and the theory of behavior based observers as developed in the...
State Space Formulas for Coprime Factorization (2000)
In this paper we will give a uniform approach to the derivation of state space formulas of coprime factorizations, of different types, for rational matrix functions.
An Algebraic Approach to Hankel Norm Approximation Problems (2000)
The polynomial approach introduced in Fuhrmann [1991] is extended to cover the crucial area of AAK theory, namely the characterization of zero location of the Schmidt vectors of the Hankel operators....
Diffeomorphisms between Sets of Linear Systems (2000)
Diffeomorphisms are given between different subsets of linear systems of fixed McMillan degree. The sets considered are the set of all systems of fixed McMillan degree, the subset of stable systems,...
Factorization Theory for Stable, Discrete-Time Inner Functions (2000)
Fuhrmann, Paul A., Hoffmann, Jörg
We develop a factorization theory for stable inner functions relative to the unit circle.
On Balanced Realizations of Bounded Real and Positive Real Functions (2000)
Fuhrmann, Paul A., Hoffmann, Jörg
Based on normalized coprime factorizations with respect to indefinite metrics and the construction of suitable characteristic functions, the Ober balanced canonical forms for the classes of bounded...
Remarks on Orthogonal Polynomials and Balanced Realizations (2000)
Hoffmann, Jörg, Fuhrmann, Paul A.
Given a proper antistable rational transfer function g, a balanced realization of g is contructed as a matrix representation of the abstract shift realization introduced in Fuhrmann [1976]. The...