Further Stability Criterion on Delayed Recurrent Neural Networks Based on Reciprocal Convex Technique
نویسندگان
چکیده
منابع مشابه
Further Stability Criterion on Delayed Recurrent Neural Networks Based on Reciprocal Convex Technique
Together with Lyapunov-Krasovskii functional theory and reciprocal convex technique, a new sufficient condition is derived to guarantee the global stability for recurrent neural networks with both time-varying and continuously distributed delays, in which one improved delay-partitioning technique is employed. The LMI-based criterion heavily depends on both the upper and lower bounds on state de...
متن کاملFurther Results on the Stability of Delayed Cellular Neural Networks
Delayed cellular neural networks (DCNNs) introduced in [10] have found interesting applications in different areas such as classification of patterns and reconstruction of moving images. In these applications, it is essential that the DCNN involved be completely stable in the sense that every trajectory converges to an equilibrium point. In other applications such as optimization, it is desirab...
متن کاملFurther analysis on stability of delayed neural networks via inequality technique
Correspondence: jiaywang@163. com School of Mathematics and Information Sciences, Weifang University, Weifang 261061, People’s Republic of China Abstract In this paper, further analysis on stability of delayed neural networks is presented via the impulsive delay differential inequality, which was obtained by Li in recent publications. Based on the inequality, some new sufficient conditions ensu...
متن کاملCombined Convex Technique on Delay-Distribution-Dependent Stability for Delayed Neural Networks
Together with the Lyapunov-Krasovskii functional approach and an improved delay-partitioning idea, one novel sufficient condition is derived to guarantee a class of delayed neural networks to be asymptotically stable in the mean-square sense, in which the probabilistic variable delay and both of delay variation limits can be measured. Through combining the reciprocal convex technique and convex...
متن کاملFurther Results on Global Stability Criterion of Neural Networks with Continuously Distributed Delays
Based on the recent result given in Park [19], a further result for global asymptotic stability of the equilibrium point for a class of uncertain neural networks with discrete and distributed delays is investigated. A stability condition is derived in terms of linear matrix inequalities (LMIs), which can be solved easily by various convex optimization algorithms. Mathematics Subject Classificat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2012
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2012/829037