Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems

By Yan Li, YangQuan Chen, Igor Podlubny. 2009

1,559 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d6d2f030930b584f49fdbc30597f27099d88c22f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Nguyen Dinh Cong
2. Heng Liu
3. Hoang The Tuan
4. Hieu Minh Trinh
5. Liping Chen
6. Yongping Pan
7. Yigang He
8. Shenggang Li

Citations in the corpus

• Adaptive Fuzzy Backstepping Control of Fractional-Order Nonlinear Systems (2017, methodology): “Definition 2 [14]: Let g : [0, b) −→ I denote a continuous function.”
• Completeness on the stability criterion of fractional order LTI systems (2017, background): “In [10, 29], the (generalized) Mittag-Leffler stability was introduced to determine the stability of a class of fractional order nonlinear systems, while it is not easy to find the relation between the original variables and that of the transformed system.”
• A Lyapunov approach to the stability of fractional differential equations (2009, unknown): “All rights reserved.”
• Non-Differentiable Exact Solutions for the Nonlinear ODEs Defined on Fractal Sets (2017, unknown): “Defining the following special functions on Cantor sets: Φτ (μ) = φ1 sinτ (φ2μ ) (4) and Φτ (μ) = φ1 cosτ (φ2μ ), (5) where φ1 and φ2 are two parameters, we find from Table 2 that Dφ1 sinτ (φ2μ ) = φ1φ2 cosτ (φ2μ ) (6) and Dφ1 cosτ (φ2μ ) = −φ1φ2 sinτ (φ2μ ), (7) so that we get the following NLFODE:”