scholarly journals A NOVEL GUARANTEED COST CONTROL FOR HOPFIELD NEURAL NETWORKS WITH MULTIPLE TIME-VARYING DELAYS

2014 ◽  
Vol 97 (2) ◽  
Author(s):  
G. Rajchakit
Keyword(s):  
Neural Networks ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Hopfield Neural Networks ◽  
Multiple Time ◽  
Time Varying ◽  
Guaranteed Cost

scholarly journals Guaranteed Cost Control for Exponential Synchronization of Cellular Neural Networks with Mixed Time-Varying Delays via Hybrid Feedback Control

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
T. Botmart ◽  
W. Weera
Keyword(s):  
Neural Networks ◽  
Feedback Control ◽  
Cost Control ◽  
Sufficient Conditions ◽  
Guaranteed Cost Control ◽  
Cellular Neural Networks ◽  
Exponential Synchronization ◽  
Time Varying ◽  
Delay Function ◽  
Guaranteed Cost

The problem of guaranteed cost control for exponential synchronization of cellular neural networks with interval nondifferentiable and distributed time-varying delays via hybrid feedback control is considered. The interval time-varying delay function is not necessary to be differentiable. Based on the construction of improved Lyapunov-Krasovskii functionals is combined with Leibniz-Newton's formula and the technique of dealing with some integral terms. New delay-dependent sufficient conditions for the exponential synchronization of the error systems with memoryless hybrid feedback control are first established in terms of LMIs without introducing any free-weighting matrices. The optimal guaranteed cost control with linear error hybrid feedback is turned into the solvable problem of a set of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.

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