Stochastic synchronization of multi-delays neutral-type neural networks with Markovian switching and Brownian noise

Author

Xueqing Yang ; Wuneng Zhou ; Jun Yang ; Jun Zhou

Author_Institution

Coll. of Inf. Sci. & Technol, Donghua Univ., Shanghai, China

fYear

2015

fDate

23-25 May 2015

Firstpage

2917

Lastpage

2922

Abstract

In this brief, the problem of stochastic synchronization of multi-delays neutral-type neural networks with Markovian switching and Brownian noise is investigated. Firstly, we designed a control law of stochastic synchronization of the multi-delays neural-type neural network. Secondly, using the Lyapunov functional and M-matrix approach, we obtained a criterion under which the drive and response neutral-type multiple time-delays neural networks with Brownian noise and Markovian switching are stochastic synchronization. The synchronization condition is expressed as linear matrix inequality which can be easily solved by Matlab. Finally, Some numerical examples are provided to illustrate the effectiveness of the method and result obtained in this brief.

Keywords

Lyapunov methods; Markov processes; control system synthesis; delay systems; linear matrix inequalities; neurocontrollers; stochastic systems; switching systems (control); synchronisation; Brownian noise; Lyapunov functional; M-matrix approach; Markovian switching; Matlab; linear matrix inequality; multidelay neutral-type neural networks; response neutral-type multiple time-delay neural networks; stochastic synchronization control law design; Delays; Markov processes; Neural networks; Noise; Switches; Synchronization; Markovian switching; Stochastic synchronization; multi-delay; neutral-type neural networks;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162424

Filename

7162424