×

Comments on “Mittag-Leffler stability of fractional order nonlinear dynamic systems [automatica 45(8) (2009) 1965-1969]”. (English) Zbl 1351.93076

Summary: In this paper, an error is pointed out in the proof of Theorem 11 of Y. Li et al. [Automatica 45, No. 8, 1965–1969 (2009; Zbl 1185.93062)].

MSC:

93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
34A08 Fractional ordinary differential equations
93C10 Nonlinear systems in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory

Citations:

Zbl 1185.93062
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Choi, S. K.; Koo, N., The monotonic property and stability of solutions of fractional differential equations, Nonlinear Analysis, 74, 6530-6536 (2011) · Zbl 1232.34011
[2] Li, Y.; Chen, Y. Q.; Podlubny, I., Mittag-Leffler stability of fractional order nonlinear dynamic systems, Automatica, 45, 1965-1969 (2009) · Zbl 1185.93062
[3] Shen, J.; Lam, J., Non-existence of finite-time stable equilibria in fractional-order nonlinear systems, Automatica, 50, 547-551 (2014) · Zbl 1364.93690
[4] Yu, J.; Hu, C.; Jiang, H., Corrigendum to projective synchronization for fractional neural networks, Neural Networks, 67, 152-154 (2015) · Zbl 1394.34103
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.