Finite Time Synchronization between Two Different Chaotic Systems with Uncertain Parameters

Yang, Wanli; Xia, Xiaodong; Dong, Yusen; Zheng, Suwen

doi:10.5539/cis.v3n3p174

Cited by 8 publications

(12 citation statements)

References 17 publications

(11 reference statements)

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“…A very similar problem was solved in [10] by applying stability theory and the gain area of the controller was determined. A finite time stability theory-based controller was designed in [11] and the synchronization of two dissimilar chaotic systems was reached. The finite time stability results in precision; however, the robustness degrades in this strategy.…”

Section: Introductionmentioning

confidence: 99%

Synchronization and antisynchronization protocol design of chaotic nonlinear gyros: an adaptive integral sliding mode approach

Rahman¹,

Khan²,

Akmeliawati³

2019

Turk J Elec Eng & Comp Sci

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A novel control protocol design, via integral sliding mode control with parameter update laws, for synchronization and desynchronization of a chaotic nonlinear gyro with unknown parameters is the focus of this work. The error dynamics of the actual system are substructured into nominal and uncertain parts to employ adaptive integral sliding mode (AISM) control. The uncertain parameters are estimated via devised adaptive laws. Then the disagreement dynamics are guided to origin via AISM control. The stabilizing controller is also designed in terms of nominal control along with a compensating component. The control and the parameter update laws are constructed to ensure the strictly negative derivative of a Lyapunov function. Graphical results related to synchronization, desynchronization, and chaos suppression are displayed to demonstrate the potential of the proposed control.

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Section: Introductionmentioning

confidence: 99%

Synchronization and antisynchronization protocol design of chaotic nonlinear gyros: an adaptive integral sliding mode approach

Rahman¹,

Khan²,

Akmeliawati³

2019

Turk J Elec Eng & Comp Sci

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“…Recently, there are some papers about finite time consensus [42], stability [2,3,7,44,52], finite time boundedness [14], finite time parameter identification [33], stabilization of general control systems [16,19,28,29] and finite time synchronization of networks [8,10,17,34,49,50]. It is noticed that, most results about synchronization are related to an infinite-time asymptotical process, that is, only when the time tends to infinity, the driveresponse systems can reach GS, and in theory, this will not occur in a finite time.…”

Section: Introductionmentioning

confidence: 99%

“…But in practice, especially in physical and engineering systems, we often require systems achieve GS in a finite time, so it is significant to investigate the finite-time GS of networks. In [49], finite time synchronization between two different chaotic systems with uncertain parameters was investigated. Yang and Cao discussed finite-time synchronization of complex networks with stochastic disturbances [50].…”

Section: Introductionmentioning

confidence: 99%

Finite-time generalized synchronization of nonidentical delayed chaotic systems

Bao

Cao

2016

NAMC

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This paper deals with the finite-time generalized synchronization (GS) problem of drive-response systems. The main purpose of this paper is to design suitable controllers to force the drive-response system realize GS in a finite time. Based on the finite-time stability theory and nonlinear control theory, sufficient conditions are derived that guarantee finite-time GS. This paper extends some basic results from generalized synchronization to delayed systems. Because finite-time GS means the optimality in convergence time and has better robustness, the results in this paper are important. Numerical examples are given to show the effectiveness of the proposed control techniques.

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“…This characteristic is also helpful because of its advantages in its applications in engineering. Hence, it is important to investigate the finite-time stability of nonlinear systems [12][13][14][15]. [16].…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of tunnel-diode-based chaotic oscillators

et al. 2014

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This paper addresses the problem of finite-time synchronization of tunnel diode based chaotic oscillators. After a brief investigation of its chaotic dynamics, we propose an active adaptive feedback coupling which accomplishes the synchronization of tunnel-diode-based chaotic systems with and without the presence of delay(s), basing ourselves on Lyapunov and on Krasovskii-Lyapunov stability theories. This feedback coupling could be applied to many other chaotic systems. A finite horizon can be arbitrarily established by ensuring that chaos synchronization is achieved at a pre-established time. An advantage of the proposed feedback coupling is that it is simple and easy to implement. Both mathematical investigations and numerical simulations followed by PSPICE experiment are presented to show the feasibility of the proposed method.

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Finite Time Synchronization between Two Different Chaotic Systems with Uncertain Parameters

Cited by 8 publications

References 17 publications

Synchronization and antisynchronization protocol design of chaotic nonlinear gyros: an adaptive integral sliding mode approach

Synchronization and antisynchronization protocol design of chaotic nonlinear gyros: an adaptive integral sliding mode approach

Finite-time generalized synchronization of nonidentical delayed chaotic systems

Finite-time synchronization of tunnel-diode-based chaotic oscillators

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