Rational functions of several noncommuting indeterminates arise naturally in robust control when studying systems with structured uncertainty. Linear fractional transformations (LFTs) provide a convenient way of obtaining realizations of such systems and a complete realization theory of LFTs is emerging. This paper establishes connections between a minimal LFT realization and minimal realizations of a formal power series, which have been studied extensively in a variety of disciplines. The result is a fairly complete generalization of standard minimal realization theory for linear systems to the formal power series and LFT setting
The problem of parametrizing all stabilizing controllers for general linear fractional transformatio...
Abstract: In this paper, we present a systematic methodology for constructing LFT representations fo...
This paper attempts to relate robust control and behavioral frameworks by incorporating structured u...
Rational functions of several noncommuting indeterminates arise naturally in robust control when stu...
A necessary and sufficient condition is given for the exact reduction of systems modeled by linear f...
The emphasis of this thesis is on the development of systematic methods for reducing the size and co...
The notion of balanced realizations and balanced truncation model reduction, including guaranteed er...
The purpose of this paper is to present a tutorial overview of Linear Fractional Transformations (...
This paper develops machinery for control of uncertain linear systems described in terms of linear f...
We present model reduction methods with guaranteed error bounds for systems represented by a Linear ...
Model reduction methods are presented for systems represented by a linear fractional transformation ...
Based on symbolic and numeric manipulations, a model simplification technique is proposed in this pa...
Many physical dynamical systems can be described by differential equations depending on parameters,...
In this paper we introduce a general descriptor-type LFT representation of rational parametric matri...
This paper considers the problem of reducing the dimension of a model for an uncertain system whilst...
The problem of parametrizing all stabilizing controllers for general linear fractional transformatio...
Abstract: In this paper, we present a systematic methodology for constructing LFT representations fo...
This paper attempts to relate robust control and behavioral frameworks by incorporating structured u...
Rational functions of several noncommuting indeterminates arise naturally in robust control when stu...
A necessary and sufficient condition is given for the exact reduction of systems modeled by linear f...
The emphasis of this thesis is on the development of systematic methods for reducing the size and co...
The notion of balanced realizations and balanced truncation model reduction, including guaranteed er...
The purpose of this paper is to present a tutorial overview of Linear Fractional Transformations (...
This paper develops machinery for control of uncertain linear systems described in terms of linear f...
We present model reduction methods with guaranteed error bounds for systems represented by a Linear ...
Model reduction methods are presented for systems represented by a linear fractional transformation ...
Based on symbolic and numeric manipulations, a model simplification technique is proposed in this pa...
Many physical dynamical systems can be described by differential equations depending on parameters,...
In this paper we introduce a general descriptor-type LFT representation of rational parametric matri...
This paper considers the problem of reducing the dimension of a model for an uncertain system whilst...
The problem of parametrizing all stabilizing controllers for general linear fractional transformatio...
Abstract: In this paper, we present a systematic methodology for constructing LFT representations fo...
This paper attempts to relate robust control and behavioral frameworks by incorporating structured u...