Control and synchronization of discrete-time chaotic systems via variable structure control technique

Dynamics and chaos control in nonlinear electrostatic transducers

“…Switching high-gain can induce undesirable dynamics effects such as peaking phenomenon [24]. To diminish these effects, the control law can be modified by means of…”

Intermittent Impulsive Synchronization of Chaotic Delayed Neural Networks

“…Since the introduction of synchronizing two identical chaotic systems with different initial conditions by Pecora and Carroll in 1990 [31], different types of synchronization techniques have been rapidly developed. Among these include active control between two Lorenz systems [1], a backstepping approach between two Genesio systems [28,34], adaptive control [41,43,32], delay feedback synchronization [4], a variable structure method [20], a sliding model control [42], nonlinear feedback control [29,13], intermittent feedback control [14,37,45], etc. On the other hand, hyperchaos synchronization in which hyperchaotic systems possess more than one positive Lyapunov exponent has been studied in [8,9], utilizing an observer-design method.…”

Based on sliding mode control to synchronize of switched fractional Lorenz systems

“…From the viewpoint of control theory, the synchronization issue can be considered as a stability problem. In order to guarantee the synchronization between two switched fractional chaotic systems, Lyapunov stability theory is an essential method in explaining this problem [17][18][19][20].…”