A New Sufficient Condition for Checking the Robust Stabilization of Uncertain Descriptor Fractional-Order Systems. (18th July 2018)

• Record Type: Journal Article
• Authors: Wang, Hongxing; Liu, Aijing
• Other Names: Zhang Xinguang Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-07-18
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/4980434
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We consider the robust asymptotical stabilization of uncertain a class of descriptor fractional-order systems. In the state matrix, we require that the parameter uncertainties are time-invariant and norm-bounded. We derive a sufficient condition for the system with the fractional-orderα satisfying1 ≤ α < 2 in terms of linear matrix inequalities (LMIs). The condition of the proposed stability criterion for fractional-order system is easy to be verified. An illustrative example is given to show that our result is effective.