Title :
Constrained optimization for fractional order dynamics
Author :
Razminia, Abolhassan ; Majd, Vahid Johari
Author_Institution :
Electr. & Comput. Eng. Dept., Tarbiat Modares Univ., Tehran, Iran
Abstract :
In this paper a generalized constrained optimization problem is considered for fractional dynamics. Using fractional calculus and fractional order version of Euler-Lagrange equations, two problems are solved, namely, optimization of fractional order cost function subject to fractional differential equations, and fractional isoperimetric constraints. The necessary conditions for both problems are obtained.
Keywords :
calculus; differential equations; optimal control; optimisation; Euler-Lagrange equations; fractional calculus; fractional differential equations; fractional isoperimetric constraints; fractional order dynamics; fractional order version; generalized constrained optimization problem; optimal control; Cost function; Differential equations; Equations; Fractional calculus; Vectors;
Conference_Titel :
Control, Instrumentation and Automation (ICCIA), 2011 2nd International Conference on
Conference_Location :
Shiraz
Print_ISBN :
978-1-4673-1689-7
DOI :
10.1109/ICCIAutom.2011.6356670