Title :
Solving linear and quadratic matrix equation by Hopfield neural networks
Author :
Gao, Xieping ; Fu, Kaixin
Author_Institution :
Inf. Eng. Coll., Xiangtan Univ., Hunan, China
Abstract :
In this paper, a novel method is proposed to solve the Lyapunov and Riccati matrix equations by Hopfield neural networks. Experiments show that the proposed method can easily and stably found all real solutions in shorter computation time, and may be realized using hardware.
Keywords :
Hopfield neural nets; Lyapunov matrix equations; Riccati equations; mathematics computing; matrix algebra; Hopfield neural networks; Lyapunov matrix equation; Riccati matrix equation; linear matrix equation; quadratic matrix equation; Computer networks; Control system synthesis; Differential equations; Educational institutions; Hardware; Hopfield neural networks; Neural networks; Nonlinear systems; Riccati equations; Symmetric matrices;
Conference_Titel :
Systems, Man and Cybernetics, 2003. IEEE International Conference on
Print_ISBN :
0-7803-7952-7
DOI :
10.1109/ICSMC.2003.1244284
