Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order α: The 1≤α<2 Case
Joint Authors
Li, Yuanhua
Wang, Hongxing
Liu, Heng
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Stability and stabilization of fractional-order interval system is investigated.
By adding parameters to linear matrix inequalities, necessary and sufficient conditions for stability and stabilization of the system are obtained.
The results on stability check for uncertain FO-LTI systems with interval coefficients of dimension n only need to solve one 4n-by-4n LMI.
Numerical examples are presented to shown the effectiveness of our results.
American Psychological Association (APA)
Li, Yuanhua& Liu, Heng& Wang, Hongxing. 2015. Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order α: The 1≤α<2 Case. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074257
Modern Language Association (MLA)
Li, Yuanhua…[et al.]. Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order α: The 1≤α<2 Case. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074257
American Medical Association (AMA)
Li, Yuanhua& Liu, Heng& Wang, Hongxing. Robust Stability and Stabilization of Interval Uncertain Descriptor Fractional-Order Systems with the Fractional-Order α: The 1≤α<2 Case. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074257
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074257