A Quadratic Numerical Scheme for Fractional Optimal Control Problems
By Om Prakash Agrawal. 2008
161 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/eeaef7b69c385a2d31f7dcddcae9485f50024c1b
How researchers see this paper
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In Control and Systems Engineering
- Yadollah Ordokhani
- Somayeh Mashayekhi
- Mohsen Razzaghi
- Elham Keshavarz
- Dumitru Băleanu
- Eid H. Doha
- Ali H. Bhrawy
- J. Machado
In Modeling and Simulation
- Dumitru Băleanu
- Ali H. Bhrawy
- Yadollah Ordokhani
- J. Machado
- Somayeh Mashayekhi
- Mohsen Razzaghi
- Eid H. Doha
- S. Ezz‐Eldien
In Numerical Analysis
- Dumitru Băleanu
- Ali H. Bhrawy
- Yadollah Ordokhani
- Mohsen Razzaghi
- Somayeh Mashayekhi
- J. Machado
- Eid H. Doha
- S. Ezz‐Eldien
Citations in the corpus
- An approximate method for solving fractional optimal control problems by hybrid functions (2018, methodology): “The necessary conditions of optimality for FOCPs result in a Hamiltonian system of equations involving both right and left fractional differential operators (Agrawal, 2004; Agrawal and Baleanu, 2007; Agrawal, 2008a,b).”
- An Efficient Numerical Scheme for Solving Multi‐Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index (2015, methodology): “1 One-dimensional FOCP As the first example, we consider the following one-dimensional FOCP studied in [34,37]”
- Optimal control problems with Atangana‐Baleanu fractional derivative (2020, background): “By substituting Equations (35), (36), (39), and (42) into Equation (33), we have XTΦ(t) − K(QT ,XT𝛾 ,UT)Φ(t) = 0.”
- A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems (2017, background): “Many researchers have been interested in studying fractional optimal control problems and finding numerical solutions for them (for instance, see Agrawal and Baleanu, 2007; Agrawal, 2008; Tricaud and Chen, 2010; Dorville et al., 2011; Mophou, 2011; Herzallah, 2012; Sweilam et al., 2013).”
- A numerical solution for fractional optimal control problems via Bernoulli polynomials (2016, methodology): “The Caputo fractional derivative allows us to incorporate the traditional initial conditions in a straightforward manner (Agrawal, 2008b).”