Abstract
This paper investigates the problems of robust D-stability and D-stabilization for linear discrete uncertain descriptor systems ties in the whole system matrices cover that in the coefficient matrix E. We assume that the coefficient matrix E is rank-invariant, that is, rank(E) = r ≤ n for all admissible uncertainties. Thus, we consider the robustness analysis problem as two cases: the right-descriptor case and the left-descriptor case. Two necessary and sufficient D-stability conditions are developed for the first and second cases. Then, based on the above mentioned conditions, by applying a new augmentation method, the sufficient D-stabilization conditions will be presented for both cases. Both the D-stability and the D-stabilization conditions are obtained based on linear matrix inequalities. Finally, illustrative instances are given to testify the application of the proposed method for the two cases.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.