Title :
Mean square stability for stochastic neural networks with distributed and interval time-varying delays
Author :
Wu, Haixia ; Feng, Wei ; Zhang, Wei ; Dan, Songjian
Author_Institution :
Dept. of Comput. & Modern Educ. Technol., Chongqing Educ. Coll., Chongqing, China
Abstract :
This paper is concerned with the asymptotic stability analysis problem for stochastic neural networks with distributed and interval time-varying delays. By using the stochastic analysis approach, employing some free-weighting matrices and introducing an appropriate type of Lyapunov functional which takes into account the ranges of delays, a new delay-range-dependent stability criterion is established to guarantee the delayed neural networks to be asymptotically stable in the mean square. A numerical example has also been used to demonstrate the usefulness of the main result.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; Lyapunov functional; asymptotic stability analysis; delay-range-dependent stability criterion; free-weighting matrices; interval time-varying delays; mean square stability; stochastic analysis; stochastic neural network; Asymptotic stability; Biological neural networks; Computer science education; Delay effects; Educational institutions; Neural networks; Stability analysis; Stability criteria; Stochastic processes; Symmetric matrices; Distributed delays; Interval time-varying delays; Linear matrix inequalities(LMIs); Stability; Stochastic Neural networks;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5191480