# Descriptor system techniques and software tools

@article{Varga2019DescriptorST, title={Descriptor system techniques and software tools}, author={Andreas Varga}, journal={ArXiv}, year={2019}, volume={abs/1902.00009} }

The role of the descriptor system representation as basis for reliable numerical computations for system analysis and synthesis, and in particular, for the manipulation of rational matrices, is discussed and available robust numerical software tools are described.

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#### References

SHOWING 1-10 OF 36 REFERENCES

A Descriptor Systems Toolbox for MATLAB

- Computer Science
- CACSD. Conference Proceedings. IEEE International Symposium on Computer-Aided Control System Design (Cat. No.00TH8537)
- 2000

A Descriptor Systems Toolbox implemented under MATLAB that relies on the object oriented approach for control systems analysis and design provided within the standard Control Toolbox of MATLAB. Expand

Computation of least order solutions of linear rational equations

- Mathematics
- 2004

We propose a numerically reliable approach for computing solutions of least McMillan order of linear equations with rational matrix coefficients. The main computational ingredients are the orthogonal… Expand

High-performance numerical software for control

- Computer Science
- IEEE Control Systems
- 2004

The subroutine Library SLICOT (subroutine library in control theory) is described, given the background and motivation for the development of this library, and its most important features are described. Expand

A set of level 3 basic linear algebra subprograms

- Mathematics, Computer Science
- TOMS
- 1990

This paper describes an extension to the set of Basic Linear Algebra Subprograms. The extensions are targeted at matrix-vector operations that should provide for efficient and portable… Expand

Singular Control Systems

- Mathematics, Computer Science
- Lecture Notes in Control and Information Sciences
- 1989

This paper presents a meta-analyses of linear singular systems through system analysis via transfer matrix and feedback control of dynamic compensation for singular systems. Expand

Computation of structural invariants of generalized state-space systems

- Mathematics, Computer Science
- Autom.
- 1994

In this paper, we develop an algorithm for computing the zeros of a generalized state-space model described by the matrix 5-tuple (E,A, B, C, D), where E may be a singular matrix but det (A - hE) ¢-… Expand

SLICOT—A Subroutine Library in Systems and Control Theory

- Computer Science
- 1999

This chapter describes the subroutine library SLICOT that provides Fortran 77 implementations of numerical algorithms for computations in systems and control theory and builds methods for the design and analysis of linear control systems. Expand

Analysis and Design of Descriptor Linear Systems

- Mathematics
- 2010

Preface, xiii.- List of Notations, xvii.- 1 Introduction, 1.- Part I Descriptor Linear Systems Analysis.- 2 Equivalence and Solutions of Descriptor Linear Systems, 35.- 3 Regular Descriptor Linear… Expand

On computing nullspace bases { a fault detection perspective

- Mathematics
- 2008

We discuss computationally efficient and numerically reliable algorithms to compute minimal proper nullspace bases of a rational or polynomial matrix. The underlying main computational tool is the… Expand

Constructive solutions to spectral and inner-outer factorizations with respect to the disk

- Mathematics
- 2005

We use state-space realizations to solve the spectral and inner-outer factorization problems with respect to the unit disk formulated for a completely general rational matrix. The algorithm is based… Expand