Adaptive function projective synchronization of two-cell Quantum-CNN chaotic oscillators with uncertain parameters

Adaptive modified function projective synchronization of hyperchaotic systems with unknown parameters

“…Obviously, the coupling strength K can be chosen as any positive matrix for derived the controller U in Theorem. However, the main difference between present paper and the works in [16][17][18][19][20][21][22] is that in this paper the coupling strength can be automatically adapted to a updated law by the adaptive feedback control methods. Moreover, the adaptive coupling strength is more efficient than the fixed one (See Figs.…”

Complete synchronization of chaotic complex nonlinear systems with uncertain parameters

“…The adaptive control is one of popular and useful approaches to control and synchronize the solutions of nonlinear systems with unknown or uncertain parameters [9][10][11][12][13][14][15][16][17][18][19][20][21]. In the early 1950s, the research on the adaptive control was first proposed to design the autopilot for high-performance aircrafts, which operate at a wide range of speeds and altitudes [11].…”

“…In the early 1950s, the research on the adaptive control was first proposed to design the autopilot for high-performance aircrafts, which operate at a wide range of speeds and altitudes [11]. In the last decades, many studies for the adaptive control of chaotic system (with real variables) with parameters identification [12][13][14][15][16] or with fully uncertain parameters [9,10,[17][18][19][20][21] have been developed by using various tools from nonlinear control theory.…”

Generalized function projective synchronization of chaotic systems for secure communication

“…Be-cause the unpredictability of the scaling function in FPS can additionally enhance security of communication, this feature could be applied to get more secure communication. More recently, many studies concentrate on FPS of chaotic systems and its application to secure communication [13][14][15][16][17][18][19][20]. For instance, FPS of two identical or different chaotic systems was studied in [13,14,16,18].…”