Title :
Stability of 2-D Characteristic Polynomials
Author :
Fernando, Tyrone ; Trinh, Hieu
Author_Institution :
Univ. of Western Australia, Crawley
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;
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
DOI :
10.1109/ICMA.2007.4304176
