Adaptive synchronization of chaotic systems with time-varying delay via aperiodically intermittent control

Yuan-gan, Wang; Li, Dong

doi:10.1007/s00500-020-05161-7

Cited by 12 publications

(5 citation statements)

References 25 publications

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“…whereâ R (t),b I (t) ∈ R n and µ R (t), µ I (t) are the controller to be designed and all the other parameters are same as those defined in the master system (2). Let the error of projective synchronization between master system (2) and slave system ( 3) is e R (t) =â R (t) − βa R (t), e I (t) =b I (t) − βb I (t), i.e.ė R (t) =ȧ R (t) − βȧ R (t),ė I (t) =ḃ I (t) − βḃ I (t), where β is the scaling factor.…”

Section: Model Description and Preliminariesmentioning

confidence: 99%

Synchronization of time-varying time delayed neutral-type neural networks for finite-time in complex field

Jayanthi¹,

Santhakumari²

2021

Math. Model. Comput.

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This paper deals with the problem of finite-time projective synchronization for a class of neutral-type complex-valued neural networks (CVNNs) with time-varying delays. A simple state feedback control protocol is developed such that slave CVNNs can be projective synchronized with the master system in finite time. By employing inequalities technique and designing new Lyapunov--Krasovskii functionals, various novel and easily verifiable conditions are obtained to ensure the finite-time projective synchronization. It is found that the settling time can be explicitly calculated for the neutral-type CVNNs. Finally, two numerical simulation results are demonstrated to validate the theoretical results of this paper.

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Section: Model Description and Preliminariesmentioning

confidence: 99%

Synchronization of time-varying time delayed neutral-type neural networks for finite-time in complex field

Jayanthi¹,

Santhakumari²

2021

Math. Model. Comput.

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“…In [24] the authors utilize the method of adaptive intermittent control and the theory of Lyapunov stability to realize the synchronization of chaotic systems with time-varying delay. The synchronization of chaotic system is obtained by constructing a conventional Lyapunov function in [24]. In the paper, by using a piecevise function described by…”

Section: Intermittent Control With Adaptive Control Gainsmentioning

confidence: 99%

“…where A, B, C, f , J and τ (t) are defined in system (24), the controller U(t) is an intermittent adaptive protocol defined in ( 5)- (7). The dynamic property of (24) with the initial values (x 1 (h), x 2 (h), x 3 (h)) T = (0.8, −0.6, 0.2) T with h ∈ [−1, 0] can be emerged, which is revealed in Fig. 8, and the state is chaotic attractor in this case.…”

Section: Numerical Simulationsmentioning

confidence: 99%

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Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy

Liu

Chen

Jiang

et al. 2021

NAMC

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In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its adaptive strategy is introduced. Then, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria are obtained to ensure the global synchronization of delayed chaotic systems by means of the designed control protocols. At the end, two examples with numerical simulations are provided to verify the effectiveness of the theoretical results proposed scheme.

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“…In 1963, Lorenz [2] proposed the concept of chaos theory. Since then, scholars began to study various chaotic models, such as continuous chaotic system [3][4][5], discrete chaotic system [6,7], complex chaotic system [8][9][10], time-delay chaotic system [11,12] and fractional chaotic system [13][14][15]. Due to the unpredictability, ergodicity and extremely sensitivity to initial conditions of chaotic system [16], it is eminently suitable for chaotic cryptography.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a fractional-order hyperchaotic system and its application in image encryption

Shi¹,

An²,

Yang³

et al. 2022

Phys. Scr.

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Compared with integer order chaotic systems, fractional order chaotic systems can reflect natural phenomena more accurately, which are more suitable for chaotic cryptosystems. In order to explore the application of fractional order chaotic system in cryptography, a novel fractional order hyperchaotic system is constructed and implemented on DSP platform. More progressively, based on Adomian decomposition method, the dynamic behavior is studied by phase diagram, bifurcation diagram, Lyapunov exponent spectrum and spectral entropy (SE) complexity. It is found that each parameter and order have a large range of intervals that can keep the system in a hyperchaotic state. Therefore, the hyperchaotic sequences generated by the constructed fractional order hyperchaotic system have sufficient randomness and are well suited for applications in secure communications. In addition, a color image encryption scheme is designed based on the fractional order hyperchaotic system and DNA dynamic coding. Firstly, the improved Arnold algorithm is used to scramble the original image, then the column cyclic shift method is applied for secondary scrambling, and finally the pixel value is diffused by DNA sequence operation. The security analysis results indicate that the designed encryption algorithm can not only encrypt images effectively, but also has high security and can resist various common attacks.

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Adaptive synchronization of chaotic systems with time-varying delay via aperiodically intermittent control

Cited by 12 publications

References 25 publications

Synchronization of time-varying time delayed neutral-type neural networks for finite-time in complex field

Synchronization of time-varying time delayed neutral-type neural networks for finite-time in complex field

Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy

Dynamic analysis of a fractional-order hyperchaotic system and its application in image encryption

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