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

Civil Engineering

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