Details

Autor(en) / Beteiligte

• Li, Yan
• Chen, YangQuan
• Podlubny, Igor

Titel

Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Ist Teil von

• Computers & mathematics with applications (1987), 2010-03, Vol.59 (5), p.1810-1821

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2010

Link zum Volltext

Quelle

Elsevier ScienceDirect Journals Complete

Beschreibungen/Notizen

• Stability of fractional-order nonlinear dynamic systems is studied using Lyapunov direct method with the introductions of Mittag–Leffler stability and generalized Mittag–Leffler stability notions. With the definitions of Mittag–Leffler stability and generalized Mittag–Leffler stability proposed, the decaying speed of the Lyapunov function can be more generally characterized which include the exponential stability and power-law stability as special cases. Finally, four worked out examples are provided to illustrate the concepts.