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Zbl 1020.34064
Chen, Yangquan; Moore, Kevin L.
Analytical stability bound for a class of delayed fractional-order dynamic systems. (English)
[J] Nonlinear Dyn. 29, No.1-4, 191-200 (2002). ISSN 0924-090X; ISSN 1573-269X/e

This paper looks at the combination of two important approaches to the generalisation of ordinary differential equations in mathematical models: namely the use of fractional orders of derivatives and the incorporation of delays. Following some review material, the authors go on to consider the vexed question of stability (known to present challenges in analysis of delay differential equations). They present an analytic stability bound and give some examples.
[Neville Ford (Chester)]

MSC 2000:: *34K20 Stability theory of functional-differential equations
34D05 Asymptotic stability of ODE
37C75 Stability theory
34A25 Analytical theory of ODE

Keywords: stability; fractional differential equation; delay; delayed fractional-order dynamic systems

Cited in: Zbl 1125.93440

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