Finite-time synchronization of a class of autonomous chaotic systems

Synchronized Dynamics of Hyperchaotic Flows via an Improved Finite-Time Adaptive Controller Design

“…Approximated convergence time of error dynamic system Proposed Controller 0.1s Ref [46] >2.0s Ref [47] > 0.3s Ref [49] >0.5s Ref [23] >6.0s Ref [50] >0.6s Ref [42] >0.5s Ref [43] >0.2s Ref [61] >0.5s Ref [62] 2.0s Ref [22] >0.2s Ref [45] 2.0s Ref [44] 3.0s…”

“…The literature on chaos is replete with good results of finite-time control and synchronization of systems realized through various design approaches [21,[35][36][37][38][39][40][41]. Recently, several authors have proposed adaptive and non-adaptive control laws to realize the objectives of controlling and synchronizing the dynamics of identical or non-identical hyperchaotic systems with uncertainties based on finite-time control methods [18,22,23,[42][43][44][45][46][47][48][49][50][51][52]. Although these control strategies are elegant and are shown to be mathematically efficient, however, they update the system parameters and synchronized the system dynamics in relatively long settling times.…”

Dynamic Analysis and Finite-Time Synchronization of a New Hyperchaotic System With Coexisting Attractors

“…Vincent et al used the adaptive control technique to achieve the finite-time synchronization of chaotic system and hyperchaotic system [34]. Wei et al studied the finite-time hybrid projective synchronization of unified chaotic system [35], and Lin et al investigated the finite-time synchronization problem of a class of autonomous chaotic systems [36].…”

“…We will study the finite-time synchronization problem of system (2) and establish the corresponding sufficient conditions for finite-time synchronization according to the method proposed in literature [36] in this section. Applying an augmented linear state error feedback controller, the system (2) is easy to achieve synchronization in a given infinite time.…”