Title :
Standard neural network model for robust stabilization of recurrent neural networks
Author :
Wang, ShouGuang ; Zhao, Liangxu ; Zhang, Jianhai
Author_Institution :
Coll. of Inf. & Electron. Eng., Zhejiang Gongshang Univ., Hangzhou, China
Abstract :
The paper applies Lyapunov stability theory and S-procedure technique to investigate the robust stabilization problem of standard neural network model(SNNM). State-feedback controllers are designed to guarantee the global asymptotical stability of SNNM with norm-bounded uncertainties. The control law presented are formulated as linear matrix inequalities to be easily solved. Most of the existing recurrent neural networks can be transformed into SNNMs to be synthesized in a unified way. An example shows the effectiveness of this method.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; linear matrix inequalities; neurocontrollers; recurrent neural nets; state feedback; -procedure technique; Lyapunov stability theory; global asymptotical stability; linear matrix inequalities; norm-bounded uncertainties; recurrent neural networks; robust stabilization; standard neural network model; state-feedback controllers; Control system synthesis; Delay effects; Educational institutions; Linear matrix inequalities; Lyapunov method; Neural networks; Recurrent neural networks; Robust stability; Robustness; Uncertainty; Lyapunov stability; linear matrix inequalities; recurrent neural networks; robust stabilization; standard neural network model;
Conference_Titel :
Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-4754-1
Electronic_ISBN :
978-1-4244-4738-1
DOI :
10.1109/ICICISYS.2009.5357634