Chaos control and synchronization of a modified chaotic system

A chaotic system with Hölder continuity

“…Then, considering (12), (14) and (15), one can get the result of (6) where the parameter h takes the value…”

“…Generally, there are several effective strategies to achieve the control and synchronization of continuous time chaotic systems, such as OGY method [12], parametric resonance method [13], linear and nonlinear feedback method [11], adaptive feedback method [14], delay feedback method [15], sliding mode control method [16], and so on. However, these methods achieved chaos synchronization either by applying the local linearization scheme which could not produce the global analysis, or by using the nonlinear feedback controller which was difficult to operate in practice.…”

Analysis and Control of the Pan System via Sliding Mode Control

“…Chaos theory has been applied to a variety of fields such as physical systems [7], chemical systems [8], ecological systems [9], secure communications [10][11][12], etc. Chaos in control systems and control of chaotic dynamical systems have both received rapid attention in the recent decades [13][14][15][16][17][18][19][20][21][22].…”

A new chaotic system and its chaotic control

“…Generally, there are two strategies to achieve the control of continuous time chaotic systems. One is parameters perturbation strategy, such as OGY method [7] and parametric resonance method [8], the other is state feedback strategy, such as adaptive feedback method [9], delay feedback method [10], linear and nonlinear feedback method [11], sliding mode control method [12] and so on. However,the feedback control approach offers many advantages such as robustness and computational complexity over the other control method.…”