Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control

Liu, Bin; Sun, Zhigang; Luo, Yihao; Zhong, Yuxuan

doi:10.1016/j.physa.2019.121725

Cited by 42 publications

(12 citation statements)

References 44 publications

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“…(iii) Except the above dwell time method, based on results on stability of impulsive systems as in Theorems 1 and 2, many applications have been reported including robust stability see, e.g., [101,102], dissipativity see, e.g., [98], impulsive synchronization see, e.g., [103][104][105].…”

Section: Stability Of Continuous-time Impulsive Systemsmentioning

confidence: 99%

Review of Some Control Theory Results on Uniform Stability of Impulsive Systems

Liu

Zhang

et al. 2019

Mathematics

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This paper aims to review some uniform stability results for impulsive systems. For the review, we classify the models of impulsive systems into time-based impulsive systems and state-based ones, including continuous-time impulsive systems, discrete-time impulsive systems, stochastic impulsive systems, and impulsive hybrid systems. According to these models, we review, respectively, the related stability concepts and some representative results focused on uniform stability, including the results on uniform asymptotic stability, input-to-state stability (ISS), KLL -stability (uniform stability expressed by KLL -functions), event-stability, and event-ISS. And we formulate some questions for those not fully developed aspects on uniform stability at each subsection.

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Section: Stability Of Continuous-time Impulsive Systemsmentioning

confidence: 99%

Review of Some Control Theory Results on Uniform Stability of Impulsive Systems

Liu

Zhang

et al. 2019

Mathematics

Self Cite

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“…In terms of chaos synchronization techniques, various approaches have been proposed in the literature. For instance, sliding mode control [8], digital redesign control [9], optimal control [10], backstepping method [11], impulsive control [12], intermittent scheme [13], switching process [14], composite nonlinear feedback [10], fuzzy-logic control [15] and neuralbased control [16] have been considered. Sliding mode control (SMC) is an effective robust control technique which has been used for the synchronization or control of chaos in power electronic systems [17,18], touchless fingerprint encryption [19], satellite motion [20], cryptosystem [21], wind speed forecasting [22], Van der Pol oscillator [23], wind power interval prediction [24], nonlinear pendulum [25], image encryption [26], secure communication [27,28] and so on.…”

Section: Introductionmentioning

confidence: 99%

Fast Reaching Finite Time synchronization Approach for Chaotic Systems With Application in Medical Image Encryption

et al. 2021

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This article proposes a fast reaching finite time synchronization approach for chaotic systems along with its application to medical image encryption. First, an adaptive terminal sliding mode tracking approach with fast reaching condition is designed to synchronize the chaotic systems at the transmitter and receiver ends in finite time. Then, a chaotic cryptosystem, using synchronized chaotic systems as secret keys generator, is proposed to enhance the security of medical image transmission and/or storage. The applicability and efficiency of the proposed synchronization approach is assessed using a simulation as well as an analytical study. The analysis encompassed security tools such as histogram analysis, correlation test, and information entropy change the rate of the number of pixels and unified average changing intensity. The obtained results confirmed the robustness and fast convergence rate of the proposed synchronization approach. The security analysis also shows that the proposed cryptosystem displays acceptable levels of resistance to various attacks. INDEX TERMSChaos synchronization; fast reaching condition; medical image encryption; MORE method encryption.

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“…ere are some cooperative behaviors of interconnected dynamic systems, such as image processing [1], pattern recognition [2], and secure communication [3], which have been eliciting increasing attention recently. In particular, synchronization, as a typical collective behavior, has been widely studied by many researchers through different control methods, for example, feedback control [4,5], adaptive control [6][7][8], event-triggered control [9][10][11], and impulsive control [12][13][14][15][16][17][18]. Among these methods, impulsive control, as a form of discontinuous control [19], has advantages of low cost and high efficiency and so has been widely used in many fields, such as the population growth model [19] and neural networks [20].…”

Section: Introductionmentioning

confidence: 99%

Bipartite Synchronization of Heterogeneous Signed Networks with Distributed Impulsive Control

et al. 2021

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This study investigates the bipartite synchronization of heterogeneous signed networks with distributed impulsive control. Leader-follower bipartite synchronization within a nonzero error bound is analyzed when the average impulsive interval is T a < ∞ or T a = ∞ . Some sufficient conditions to achieve the bipartite quasi-synchronization are presented, and the synchronization error level is estimated by the specific mathematical expression. The correctness of the theoretical results is verified by numerical examples.

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Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control

Cited by 42 publications

References 44 publications

Review of Some Control Theory Results on Uniform Stability of Impulsive Systems

Review of Some Control Theory Results on Uniform Stability of Impulsive Systems

Fast Reaching Finite Time synchronization Approach for Chaotic Systems With Application in Medical Image Encryption

Bipartite Synchronization of Heterogeneous Signed Networks with Distributed Impulsive Control

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