A note on order and index reduction for descriptor systems
File(s)OrderReduction14.pdf (149.85 KB)
Accepted version
Author(s)
Corless, Martin J
Shorten, Robert
Type
Journal Article
Abstract
We present order reduction results for linear time invariant descriptor systems. Results are given for both forced and unforced systems as well methods for constructing the reduced order systems. Our results establish a precise connection between classical and new results on this topic, and lead to an elementary construction of quasi-Weierstrass forms for a descriptor system. Examples are given to illustrate the usefulness of our results.
Date Issued
2021-10-19
Date Acceptance
2021-09-17
Citation
IEEE Transactions on Automatic Control, 2021, 67 (8), pp.4293-4299
ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Start Page
4293
End Page
4299
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
67
Issue
8
Copyright Statement
© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://ieeexplore.ieee.org/document/9580532
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Standards
Indexes
Matrix decomposition
Dynamical systems
Switches
Reduced order systems
Mathematical models
Descriptor systems
quasi-Weierstrass form
system order reduction
STABILITY ANALYSIS
EQUATIONS
eess.SY
eess.SY
cs.SY
Industrial Engineering & Automation
0102 Applied Mathematics
0906 Electrical and Electronic Engineering
0913 Mechanical Engineering
Publication Status
Published
Date Publish Online
2021-10-19