On stability and feedback control of discrete fractional order singular systems with multiple time-varying delays

Xiang Liu, Peiguang Wang and Douglas R. Anderson

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: In this paper, we study discrete fractional order singular systems with multiple time-varying delays. By use of new techniques, some useful fractional order difference inequalities are given. Then, conditions based on matrix inequalities and discrete fractional Lyapunov direct method have been obtained for the asymptotic stability of such systems. Further, the stability theories are applied to the stabilization problem of such systems via state feedback control (SFC) and time-delayed feedback control (DFC). Finally, an example is presented to illustrate one of the results.

Keywords: Discrete fractional order systems; Time delays; Asymptotical stability; Stabilization (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921010948
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010948

DOI: 10.1016/j.chaos.2021.111740

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().