2011
DOI: 10.1155/2011/162490
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Partial Finite‐Time Synchronization of Switched Stochastic Chua′s Circuits via Sliding‐Mode Control

Abstract: This paper considers the problem of partial finite-time synchronization between switched stochastic Chua's circuits accompanied by a time-driven switching law. Based on the Ito formula and Lyapunov stability theory, a sliding-mode controller is developed to guarantee the synchronization of switched stochastic master-slave Chua's circuits and for the mean of error states to obtain the partial finite-time stability. Numerical simulations demonstrate the effectiveness of the proposed methods.

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Cited by 6 publications
(3 citation statements)
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“…Moreover, the finite-time control techniques have demonstrated better robustness and disturbance rejection properties. Based on proposed fractional controllers, the finite-time stability and the settling time can be guaranteed and computed [37][38][39][40][41][42][43][44][45][46][47][48][49]. However, few studies have focused on the finite-time suppression chaos of permanent magnet synchronous motor (PMSM) systems.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the finite-time control techniques have demonstrated better robustness and disturbance rejection properties. Based on proposed fractional controllers, the finite-time stability and the settling time can be guaranteed and computed [37][38][39][40][41][42][43][44][45][46][47][48][49]. However, few studies have focused on the finite-time suppression chaos of permanent magnet synchronous motor (PMSM) systems.…”
Section: Introductionmentioning
confidence: 99%
“…In general, there are two main advantages of SMC which are the reducing order of dynamics from the purposed switching functions and robustness of restraining system uncertainties. Many studies have been conducted on SMC [15][16][17][18][19][20]. However, the chattering phenomenon is a serious problem which is needed to overcome.…”
Section: Introductionmentioning
confidence: 99%
“…This property is helpful because of its advantages, for instance, in engineering. Hence, the design of synchronization systems with finite-time convergence has been recently studied (see [26][27][28]). In [27], Zuppa et al proposed a finite-time master-slave synchronization strategy for Lorenz-based chaotic systems.…”
Section: Introductionmentioning
confidence: 99%