Title :
Delay-Derivative-Dependent Stability for Delayed Neural Networks With Unbound Distributed Delay
Author :
Li, Tao ; Song, Aiguo ; Fei, Shumin ; Wang, Ting
Author_Institution :
Sch. of Instrum. Sci. & Eng., Southeast Univ., Nanjing, China
Abstract :
In this brief, based on Lyapunov-Krasovskii functional approach and appropriate integral inequality, a new sufficient condition is derived to guarantee the global stability for delayed neural networks with unbounded distributed delay, in which the improved delay-partitioning technique and general convex combination are employed. The LMI-based criterion heavily depends on both the upper and lower bounds on time delay and its derivative, which is different from the existent ones and has wider application fields than some present results. Finally, three numerical examples can illustrate the efficiency of the new method based on the reduced conservatism which can be achieved by thinning the delay interval.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; neural nets; stability; LMI-based criterion; Lyapunov-Krasovskii functional approach; delay-derivative-dependent stability; delay-partitioning technique; delayed neural networks; general convex combination; global stability; integral inequality; sufficient condition; time delay; unbound distributed delay; Artificial neural networks; Chaos; Chaotic communication; Delay effects; Neural networks; Neurofeedback; Output feedback; Parameter estimation; Stability; Sun; Asymptotical stability; LMI technique; delayed neural networks (DNNs); lyapunov-Krasovskii functional (LKF); unbounded distributed delay; Algorithms; Animals; Artificial Intelligence; Humans; Models, Theoretical; Neural Networks (Computer); Pattern Recognition, Automated; Signal Processing, Computer-Assisted; Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2010.2051455