Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems | Zendy

Hai Zhang | Zendy; Daiyong Wu | Zendy; Jinde Cao | Zendy; Hui Zhang | Zendy

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Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems

Author(s) -

Hai Zhang,

Daiyong Wu,

Jinde Cao,

Hui Zhang

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/850279

Subject(s) - mathematics , stability (learning theory) , transcendental equation , exponential stability , order (exchange) , transcendental number , delay differential equation , algebraic number , differential (mechanical device) , differential equation , mathematical analysis , computer science , nonlinear system , physics , finance , quantum mechanics , machine learning , aerospace engineering , engineering , economics

We investigate the delay-independently asymptotic stability of fractional-order linear singular delay differential systems. Based on the algebraic approach, the sufficient conditions are presented to ensure the asymptotic stability for any delay parameter. By applying the stability criteria, one can avoid solving the roots of transcendental equations. An example is also provided to illustrate the effectiveness and applicability of the theoretical results

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