Functional Fractional Calculus For System Identification And Controls

By N. Eberhardt. 2016

347 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ea0421163cd4fdb9442f6480c806146670ac55b7

How researchers see this paper

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

Citations in the corpus

A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems (2017, background): “, 2013), bioengineering (Magin, 2004), continuum mechanics (Mainardi, 1997), colored noise (Mandelbrot, 1967) and others (see Debnath, 2003; Bohannan, 2008; Das, 2008; Dalir and Bashour, 2010; Dzielinski et al., 2010; Hilfer, 2012; Jiang and Ding, 2013; Machado et al., 2013; Irandoust-Pakchin et al.”
The Chronicles of Fractional Calculus (2017, unknown): “1980-1989 [183, 184, 146, 136, 162, 176, 137, 138] [125] 1990 [186] [68] 1991 [140, 139, 147, 61] 1992 [182, 33, 177, 130] [80] 1993 1994 [206, 85] 1995 [148] [172] 1996 [141, 170] 1997 [34, 118] 1998 [128] [173, 123] 1999 [158, 150, 193, 199] 2000 [67] 2001 [9, 13] [16] 2002 [201, 157, 54, 73, 72] ”
Existence of solutions for a system of fractional differential equations with coupled nonlocal boundary conditions (2018, background): “Fractional differential equations describe many phenomena in several fields of engineering and scientific disciplines such as physics, biophysics, chemistry, biology (for example, the primary infection with HIV), economics, control theory, signal and image processing, thermoelasticity, aerodynamics,”
On the sliding‐mode control of fractional‐order nonlinear uncertain dynamics (2016, background): “The long-range temporal or spatial hereditary phenomena inherent to the FOSs present unique and intriguing peculiarities, not supported by their integer-order counterpart, which raise numerous challenges and opportunities related to the development of control and estimation methodologies involving f”
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation (2014, background): “The subject is nowadays very active due to its many applications, not only in mathematics, but also in physics and engineering, and has proven to better describe certain complex phenomena in nature (see for instance [2–9]).”