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.
EventInternational Conference on Mechatronics and Automation (2007 : Harbin, China)
Pagination3779 - 3783
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Place of publicationPiscataway, N.J.
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Publication classificationE1 Full written paper - refereed
Copyright notice2007, IEEE
Title of proceedingsProceedings of the 2007 IEEE International Conference on Mechatronics and Automation