Introduction to fractional linear systems. Part 1. Continuous-time case

By Manuel Duarte Ortigueira. 2000

127 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Economics and Econometrics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7b335ec14317be5d04b7b566cb8a9ba18cdd2fbb

How researchers see this paper

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

In Artificial Intelligence

1. Guanrong Chen
2. Ali H. Bhrawy
3. Dumitru Băleanu
4. Jun-Guo Lu
5. Mikolaj Buslowicz
6. Mehmet Önder Efe

In Economics and Econometrics

1. Guanrong Chen
2. Jun-Guo Lu
3. Mikolaj Buslowicz
4. Mehmet Önder Efe

In Statistical and Nonlinear Physics

1. Dumitru Băleanu
2. Taha M. Taha
3. Ali H. Bhrawy
4. Guanrong Chen
5. Jun-Guo Lu
6. Mikolaj Buslowicz
7. Mehmet Önder Efe
8. Jinhu Lu

Citations in the corpus

• Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems (2013, background): “These models are found to be best described by FDEs [1–4].”
• Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems (2010, background): “A comparison of several controller designs are presented in [14], thorough investigations considering the continuous time case is dealt with in [9] and in [5].”
• Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach (2009, background): “[ 6 ] M. Rinehart, M. Dahleh, and I. Kolmanovsky, “Value iteration and op-”
• Integral sliding mode control of a quadrotor with fractional order reaching dynamics (2011, unknown): “…10.1177/0142331210377227 and two widely used definitions are by Riemann–Liouville in (1) and by Caputo in (2) (Das, 2008; Oldham and Spanier, 1974; Ortigueira, 2000; Podlubny, 1998): D ¼ ð Þ :¼ 1 ðn Þ d dt nZ t 0 ð Þ ðt Þ þ1 n d ð1Þ D ¼ ð Þ :¼ 1 ðn Þ Z t 0 ðnÞð Þ ðt Þ þ1 n d ð2Þ where n 1 5n…”
• Fractional order sliding mode control with reaching law approach (2010, background): “Considering the fractional order system within the context of feedback control, some fundamental definitions and analogies are presented in [4–5], which consider both the continuous and the discrete time cases.”
• Stability of linear continuous-time fractional order systems with delays of the retarded type (2008, methodology): “The methods are obtained by generalisation to the class of fractional order systems with delays of the Mikhailov stability criterion and the modified Mikhailov stability criterion known from the theory of natural order systems without and with delays.”