Practical stability analysis of fractional-order impulsive control systems

Ivanka Stamova; Johnny Henderson

doi:10.1016/j.isatra.2016.05.012

Practical stability analysis of fractional-order impulsive control systems

ISA Trans. 2016 Sep:64:77-85. doi: 10.1016/j.isatra.2016.05.012. Epub 2016 Jun 9.

Authors

Ivanka Stamova¹, Johnny Henderson²

Affiliations

¹ Department of Mathematics, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA. Electronic address: ivanka.stamova@utsa.edu.
² Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA. Electronic address: johnny_henderson@baylor.edu.

PMID: 27290909
DOI: 10.1016/j.isatra.2016.05.012

Abstract

In this paper we obtain sufficient conditions for practical stability of a nonlinear system of differential equations of fractional order subject to impulse effects. Our results provide a design method of impulsive control law which practically stabilizes the impulse free fractional-order system.

Keywords: Fractional differential systems; Impulsive control; Practical stability.