Frequency-band complex noninteger differentiator: characterization and synthesis
By Alain Oustaloup, François Levron, Bertrand Mathieu, F. Nanot. 2000
1,734 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/3d19c3c93b11147eee67d5809a2b540f38459279
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
In Electrical and Electronic Engineering
- Ivo Petrás
- Zhe Gao
- Xiaosong Hu
- Xiaozhong Liao
- YangQuan Chen
- Zhenpo Wang
- Michael G. Pecht
- Changfu Zou
Citations in the corpus
- Discretization schemes for fractional-order differentiators and integrators (2002, methodology): “in a proper range of frequencies of practical interest [18], [16].”
- A General Formulation and Solution Scheme for Fractional Optimal Control Problems (2004, neutral): “[25, 26] and references therein).”
- A review of fractional-order techniques applied to lithium-ion batteries, lead-acid batteries, and supercapacitors (2018, methodology): “To facilitate numerical calculation, these authors adopted the Oustaloup r cursive approximation from [56] to transfer the fractional equations to ordinary difference equations.”
- UBIQUITOUS FRACTIONAL ORDER CONTROLS (2006, methodology): “…control (Oustaloup, 1990; Oustaloup et al., 1996), flexible transmission (Oustaloup et al., 1995), hydraulic actuator (Lanusse et al., 2000) etc. CRONE control has been evolved to a powerful non-conventional control design tool with a dedicate MATLAB toolbox for it (Oustaloup et al., 2000b).”
- Spline collocation methods for seismic analysis of multiple degree of freedom systems with visco-elastic dampers using fractional models (2020, methodology): “The authors of the paper (Muresan et al., 2016) used approximation of the controller transform function described in Levron et al. (2000) to simulate the response of an active controlled structure.”
- Galerkin Projections and Finite Elements for Fractional Order Derivatives (2006, background): “Other finite dimensional approximations, as in [10, 11], will give similar time savings.”