Minimal modified energy control for fractional linear control systems with the Caputo derivative
By Dorota Mozyrska, Delfim F. M. Torres. 2010
59 citations recorded by the source corpus.
Fractional control systems with the Caputo derivative are considered. The modified controllability Gramian and the minimum energy optimal control problem are investigated. Construction of minimizing steering controls for the modified energy functional are proposed.
Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/c75c99e1b07ff7bff02192b4240de241785c56ab
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In Control and Systems Engineering
- Ricardo Almeida
- Delfim F. M. Torres
- Shakoor Pooseh
- Rui A. C. Ferreira
- Amar Debbouche
- Dumitru Băleanu
- Amin Jajarmi
- Natália Martins
In Modeling and Simulation
- Rui A. C. Ferreira
- Ricardo Almeida
- Delfim F. M. Torres
- Amar Debbouche
- Shakoor Pooseh
- Bessem Samet
- Mohamed Jleli
- Dumitru Băleanu
In Numerical Analysis
- Rui A. C. Ferreira
- Ricardo Almeida
- Shakoor Pooseh
- Amar Debbouche
- Delfim F. M. Torres
- Carlos Lizama
- Dumitru Băleanu
- E. Capelas de Oliveira
Citations in the corpus
- Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions (2014, background): “The study of fractional control systems and fractional optimal control problems is under intense investigation [25, 26, 41].”
- FRACTIONAL h-DIFFERENCE EQUATIONS ARISING FROM THE CALCULUS OF VARIATIONS (2011, background): “Several definitions of fractional derivatives, including Riemann–Liouville, Caputo, Riesz, Riesz-Caputo, Weyl, Grunwald–Letnikov, Hadamard, and Chen derivatives, are available in the literature [2, 14, 17, 26].”
- Fractional order optimal control problems with free terminal time (2013, methodology): “This initial memory approach was studied for fractional continuous-time linear control systems in [17] and [18], respectively for Caputo and Riemann–Liouville derivatives.”