Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162424
