DocumentCode
3412419
Title
Stability of 2-D Characteristic Polynomials
Author
Fernando, Tyrone ; Trinh, Hieu
Author_Institution
Univ. of Western Australia, Crawley
fYear
2007
fDate
5-8 Aug. 2007
Firstpage
3779
Lastpage
3783
Abstract
This paper derives some new conditions for the bivariate characteristic polynomial of an uncertain matrix to be very strict Hurwitz. The uncertainties are assumed of the structured and unstructured type. By using the two-dimensional (2-D) inverse Laplace transform, the bounds on the uncertainties are derived which will ensure that the bivariate characteristic polynomial to be very strict Hurwitz. Two numerical examples are given to illustrate the results.
Keywords
Laplace transforms; polynomial matrices; 2D characteristic polynomials; two-dimensional inverse Laplace transform; uncertain matrix; Australia; Automation; Continuous time systems; Laplace equations; Mechatronics; Polynomials; Robust stability; Stability analysis; Testing; Uncertainty; Two-Dimensional Systems; Uncertain Polynomials; Very Strict Hurwitz;
fLanguage
English
Publisher
ieee
Conference_Titel
Mechatronics and Automation, 2007. ICMA 2007. International Conference on
Conference_Location
Harbin
Print_ISBN
978-1-4244-0828-3
Electronic_ISBN
978-1-4244-0828-3
Type
conf
DOI
10.1109/ICMA.2007.4304176
Filename
4304176
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