Modified Schur-Cohn Criterion for Stability of Delayed Systems
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A modified Schur-Cohn criterion for time-delay linear time-invariant systems is derived.
The classical Schur-Cohn criterion has two main drawbacks; namely, (i) the dimension of the Schur-Cohn matrix generates some round-off errors eventually resulting in a polynomial of s with erroneous coefficients and (ii) imaginary roots are very hard to detect when numerical errors creep in.
In contrast to the classical Schur-Cohn criterion an alternative approach is proposed in this paper which is based on the application of triangular matrices over a polynomial ring in a similar way as in the Jury test of stability for discrete systems.
The advantages of the proposed approach are that it halves the dimension of the polynomial and it only requires seeking real roots, making this modified criterion comparable to the Rekasius substitution criterion.
American Psychological Association (APA)
Mulero, Juan I.. 2015. Modified Schur-Cohn Criterion for Stability of Delayed Systems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1074875
Modern Language Association (MLA)
Mulero, Juan I.. Modified Schur-Cohn Criterion for Stability of Delayed Systems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1074875
American Medical Association (AMA)
Mulero, Juan I.. Modified Schur-Cohn Criterion for Stability of Delayed Systems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1074875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074875