Title :
On a fractional optimal control problem with Jumarie´s modified Riemann-Liouville derivative
Author_Institution :
Fac. of Math. & Comput. Sci., Univ. of Lodz, Lodz, Poland
Abstract :
In the paper, a fractional nonlinear continuous control system with modified Riemann-Liouville derivative is considered. An existence and uniqueness of a solution and continuous dependence of solutions on controls to such system are investigated. Finally, a theorem on the existence of optimal solutions to this one with a nonlinear integral performance index is proved.
Keywords :
nonlinear control systems; optimal control; Jumarie modified Riemann-Liouville derivative; fractional nonlinear continuous control system; fractional optimal control problem; nonlinear integral performance index; optimal solutions; Aerospace electronics; Fractional calculus; Integral equations; Optimal control; Performance analysis;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4799-5082-9
DOI :
10.1109/MMAR.2014.6957339
