So, in this paper, based on drive-response concept and Lyapunov functional method, some different decentralized control laws will be given for global asymptotical synchronization of a general class of discrete-time delayed chaotic neural networks with stochastic disturbance.
Remark 4 Based on the drive-response concept, synchronization problems of discrete-time neural networks are little investigated.
It proposes a fast mechanism for synchronizing the transmitter and the receiver that is based on the drive-response approach.
First we introduce some definitions, then we propose a fast mechanism for synchronization the chaotic systems without linear term (11) based on the drive-response approach.
Based on the drive-response concept and the Lyapunov stability theorem, a memoryless decentralized control law is proposed which guarantees exponential synchronization even when input nonlinearity is present.
Based on the drive-response concept and the Lyapunov stability theorem, a linear matrix inequality (LMI) approach is given to establish sufficient conditions under which the considered neural networks are globally asymptotically synchronized in the mean square.
In Section 3, based on the drive-response concept and the Lyapunov functional method, we discuss global asymptotical synchronization in mean square for uncertain stochastic discrete-time delayed neural networks with mixed delays.
Based on the drive-response concept, the stochastic differential inclusions theory and the Lyapunov functional method with the impulsive delay differential inequality technique was established to guarantee the impulsive synchronization of memristor-based recurrent neural networks with stochastic effects.
Based on the drive-response concept and Lyapunov stability theory, both delay-independent and delay-dependent conditions in LMIs are derived under which the resulting error system is globally asymptotically stable in the specified switching surface, and a sliding mode controller is synthesized to guarantee the reachability of the specified sliding surface.
Then we propose a new type of hyperchaos combination synchronization scheme based on two drive systems and one response system.
This paper presents a data driven approach for PI control design based on frequency response data and calculations of stabilizing sets.
