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Pang, Denghao; Jiang, Wei

Finite-time stability analysis of fractional singular time-delay systems. (English) Zbl 1348.34135

Adv. Difference Equ. 2014, Paper No. 259, 11 p. (2014).
Summary: This paper studies the finite-time stability of fractional singular time-delay systems. First, by the method of the steps, we discuss the existence and uniqueness of the solutions for the equivalent systems to the fractional singular time-delay systems. Furthermore, we give the Mittag-Leffler estimation of the solutions for the equivalent systems and obtain the sufficient conditions of the finite-time stability for the original systems.

Cited in 7 Documents

MSC:

34K37 Functional-differential equations with fractional derivatives
34K20 Stability theory of functional-differential equations

Keywords:

finite-time stability; singular systems; time delay; fractional calculus; Mittag-Leffler estimation; generalized Gronwall inequality
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\textit{D. Pang} and \textit{W. Jiang}, Adv. Difference Equ. 2014, Paper No. 259, 11 p. (2014; Zbl 1348.34135)
Full Text: DOI

References:

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