Adaptive impulsive synchronization for a class of fractional-order chaotic and hyperchaotic systems

Synchronization and antisynchronization of N‐coupled fractional‐order complex chaotic systems with ring connection

“…Additionally, synchronization of fractional‐order chaotic systems is also a field of active research. And a variety of synchronization approaches have been proposed for the fractional‐order chaotic systems that include complete synchronization, antisynchronization, phase and antiphase synchronization, impulsive synchronization, lag synchronization, and projective synchronization, just to enumerate a few examples.…”

Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes

“…Synchronization, a typical collective behaviour where by dynamical signals of chaotic systems tend to be identical with time elapsed due to a coupling or a forcing, not only can be observed in many physical systems like chemical reactions, power converters and biological systems [16,17], but also has been employed in a wide variety of engineering applications, such as information processing and secure communication [18]. Since the leading work of Pecora & Carroll [19], synchronization has been extensively studied and many effective methods for synchronization control have been exploited, including state feedback control [20][21][22], adaptive control [23], sliding mode control [24], impulsive control [7,13] and so on. In [21], both a feedback controller and an impulsive controller are designed to obtain the exponential synchronization for a class of discontinuous neural networks.…”

“…By utilizing matrix measure and Halanay inequality, Cao & Wan [22], propose a state feedback control strategy to achieve the exponential synchronization for the single inertial BAM neural network. The state feedback synchronization and impulsive synchronization for fractional-order systems are, respectively, investigated in [7,8]. However, little literature mentions the synchronization of fractional-order BAM neural networks.…”

Synchronization of Arneodo chaotic system via backstepping fuzzy adaptive control

“…For a class of fractional-order chaotic and hyperchaotic systems with unknown Lipschitz constant, the adaptive impulsive synchronization is investigated in [8]. The backstepping methods of control can be used to obtain the synchronization process [9][10][11][12].…”