2017
DOI: 10.1016/j.ijleo.2016.10.140
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Design of a nonlinear controller and its intelligent optimization for exponential synchronization of a new chaotic system

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Cited by 12 publications
(14 citation statements)
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“…Chaotic systems are nonlinear aperiodic oscillators with high sensitivity to initial conditions. Due to above, in recent years, the study of chaotic systems has increased because of their different applications in various areas of engineering [1]. In 1963, Edward N. Lorenz developed the first chaotic system of third order Ordinary Differential Equations (ODE).…”
Section: Introductionmentioning
confidence: 99%
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“…Chaotic systems are nonlinear aperiodic oscillators with high sensitivity to initial conditions. Due to above, in recent years, the study of chaotic systems has increased because of their different applications in various areas of engineering [1]. In 1963, Edward N. Lorenz developed the first chaotic system of third order Ordinary Differential Equations (ODE).…”
Section: Introductionmentioning
confidence: 99%
“…In this context, the dynamic behavior of two systems must converge on the same unique chaotic behavior. These two systems can be coupled unidirectionally, also so-called master-slave configuration, i.e., the autonomous system with hyperchaotic dynamics is called master and the another system, which is forced to follow the hyperchaotic behavior by coupled inputs, called slave [1].…”
Section: Introductionmentioning
confidence: 99%
“…Another approach is nonlinear control [33][34][35][36][37][38][39][40]. In this technique, given a Lyapunov function candidate , the control law is selected considering that the first derivative of must be compelled to be negative definite [41]. Hence, the asymptotic convergence to zero of the synchronization error can be guaranteed.…”
Section: Introductionmentioning
confidence: 99%
“…This began due to the work of references [1,2] in which they showed that synchronization of chaotic systems is possible; this development has been utilized in areas such as secure communications [3][4][5], cryptography [6,7], medical applications, mechanisms, and robotics [8][9][10][11][12][13][14][15]. Some of the synchronization schemes that have been successfully developed and applied include linear and nonlinear feedback control [16][17][18][19][20][21][22][23][24][25], where a Lyapunov candidate function V is proposed in such a way that the control law selected from the first derivative of V must be defined as negative [25]. Adaptable control [16][17][18][19]26,27] is of interest for the synchronization of chaotic systems because of the presence of unknown parameters since the learning laws are continuously updated for maintaining the performance of the system.…”
Section: Introductionmentioning
confidence: 99%