Title :
A second-order differential equation method for equilibrium programming with constraints
Author :
Li Wang ; Shiyun Wang
Author_Institution :
Sch. of Sci., Shenyang Aerosp. Univ., Shenyang, China
Abstract :
In this paper, we establish a second-order differential equation system with controlled process for solving the equilibrium programming with constraints based on Lagrange function and projection operator. It is proved that the accumulation points of the trajectories of this kind of second-order differential equation system is the solution to the equilibrium programming with constraints. Moreover, the numerical experiments are reported to show that the second-order differential equation method for solving the equilibrium programming with constraints is effective.
Keywords :
differential equations; mathematical programming; Lagrange function; equilibrium programming with constraint; projection operator; second-order differential equation method; Convergence; Differential equations; Process control; Programming profession; Trajectory; Lagrange function; Second-order differential equation; equilibrium problem with constraints; projection operator;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2014 11th World Congress on
DOI :
10.1109/WCICA.2014.7052904
