Multiple coexisting attractors of the serial–parallel memristor-based chaotic system and its adaptive generalized synchronization

Synthetic Adaptive Fuzzy Disturbance Observer and Sliding-Mode Control for Chaos-Based Secure Communication Systems

“…The synchronization of memristive neural network systems was presented in [15][16]. The synchronization of electronic circuits is found in [17][18][19][20]. The synchronization of digital and analog chaotic systems was discussed in [21][22].…”

Adaptive Multi‐Switching Synchronization of High‐Order Memristor‐Based Hyperchaotic System with Unknown Parameters and Its Application in Secure Communication

“…In line with the above de ned ux-controlled memristor formula (14), an equivalent circuit with a smooth cubic memristor is shown in Figure 1, where a = 0.1, b = 0.01 (input is 1 V 100 Hz sinusoidal wave). Circuit diagram of C1 = C2 = 33 nf, R1 = R2 = 10 kΩ, R3 = R9 = 20 kΩ, R4 = 2 kΩ, R5 = R6 = 1 kΩ, R7 = 6.7 kΩ, R8 = 40 kΩ, R10 = 100 kΩ.…”

“…In practical engineering, there exists partially or fully uncertain parameters in drive or response systems, the conventional control methods can not be applied to synchronize the two chaotic systems with uncertainties. Hence, a number of control methods have been studied to accomplish two chaos synchronization with unknown parameters or uncertain terms, such as sliding mode control method [6][7][8], impulsive control [9], fuzzy control scheme [10,11], and adaptive strategies [6,[12][13][14]. e adaptive synchronization for uncertain chaotic system was proposed by Parlitz rstly, the identi cation method of the adaptive synchronization was employed to estimation the unknown parameters in Lorenz system [15].…”

“…Itoh and Chua developed memristor oscillators which was a kind of typical memristor-based chaotic system [27]. In recent years, many researches on memristor have attracted the attention of scholars [10,11,13,14,[28][29][30][31][32]. Wen et al designed an adaptive controller to solve the synchronization problem of the memristor-based Chua circuit.…”

Disturbance Observer-Based Linear Matrix Inequality for the Synchronization of Takagi-Sugeno Fuzzy Chaotic Systems

“…Yang et al used the fractional order chaotic system to achieve color image compression [12]. The application of chaotic system synchronization to the electronics circuit has been revealed in [13][14][15][16]. The synchronization of the chaotic system application of computer-to-computer communications via internet devices was presented by Chen et al [17].…”