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Bounded-Input Bounded-Output Stability Tests for Two-Dimensional Continuous-Time Systems.
- Source :
-
IEEE Transactions on Circuits & Systems. Part I: Regular Papers . May2021, Vol. 68 Issue 5, p2134-2147. 14p. - Publication Year :
- 2021
-
Abstract
- This paper presents two efficient algorithms to determine whether a bivariate polynomial, possibly with complex coefficients, does not vanish in the cross product of two closed right-half planes (is “2-C stable”). A 2-C stable polynomial in the denominator of a two-dimensional analog filter has been proved (not long ago) to imply bounded-input bounded-output (BIBO) stability. The two algorithms are entirely different but both rely on a recently proposed fraction-free (FF) Routh test for complex polynomials in this transaction. The first algorithm tests the 2-C stability of a bivariate polynomial of degree (n1,n2) in order n6 of elementary operations (when n1 = n2 = n). It is a “tabular type” two-dimensional stability test that can be regarded as a “Routh table” whose scalar entries were replaced by univariate polynomials. The second 2-C stability test is obtained from the first by its telepolation. It carries out the 2-C stability test by a finite collection of FF Routh tests and requires only order n4 elementary operations. Both algorithms possess an integer-preserving property that enhances them with additional merits including numerical error-free decision on 2-C stability. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HURWITZ polynomials
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 15498328
- Volume :
- 68
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Circuits & Systems. Part I: Regular Papers
- Publication Type :
- Periodical
- Accession number :
- 149962495
- Full Text :
- https://doi.org/10.1109/TCSI.2021.3059839