Asymptotical stability of fractional order systems with time delay via an integral inequality
By Bin‐bin He, Hua-cheng Zhou, YangQuan Chen, Chunhai Kou. IET Control Theory & Applications, 2018
69 citations recorded by the source corpus.
In this study, the asymptotical stability for several classes of fractional order differential systems with time delay is investigated. The authors first present an integral inequality by which the Halanay inequality is extended to fractional order case. Based on the generalised Halanay inequality, the authors establish several asymptotical stability conditions under which the fractional order systems with time delay are asymptotically stable. It is worth to note that these stability conditions are easy to check without resorting to the solution expression of the systems.
Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/75f073cb598fc03c71594d0bc0ae43c1ae7128ff
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In Applied Mathematics
In Modeling and Simulation
Citations in the corpus
- Asymptotic stability of fractional difference equations with bounded time delays (2020, background): “In [12, 13], by fractional Halanay inequality which is extended to fractional case, the asymptotic stability of fractional differential systems with time delays was investigated.”