Finite-time outer-synchronization for complex networks with Markov jump topology via hybrid control and its application to image encryption

Sheng, Suying; Zhang, Xiaomei; Li, Guoping

doi:10.1016/j.jfranklin.2017.12.041

Cited by 46 publications

(16 citation statements)

References 45 publications

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“…As one of the most popular chaotic systems, the Lorenz chaotic system and its extensions are very popular in image encryption [40][41][42][43][44]. Most recently, Yang et al have found a new 7D autonomous hyperchaotic system with 5 positive LEs by adding feedback controllers to the Lorenz system [39], formulated aṡ…”

Section: Hyperchaotic Systemsmentioning

confidence: 99%

Image Encryption Based on Dynamic Filtering and Bit Cuboid Operations

Xie

et al. 2019

Complexity

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As one of the most widely used media types, images play an important role in the era of the Internet. And hence how to enhance the security of images has become a hot topic in the field of information security. However, due to some intrinsic characteristics of images, image security is still a challenging task. For the purpose of coping with this issue, in this paper, we propose a novel algorithm that combines a hyperchaotic system, dynamic filtering, and bit cuboid operations, namely, DFBC, for image encryption. Specifically, the proposed DFBC consists of four steps: firstly, a 7D Lorenz hyperchaotic system is utilized to generate a pseudorandom sequence; secondly, variable 1D filters are derived from the pseudorandom sequence, and dynamic filtering is conducted on each pixel of an image; thirdly, a diffusion scheme is performed and then the image is transformed to a bit cuboid; and, finally, various types of permutation (rearranging, symmetry, rotation, zigzag, and global bit permutation) are performed on the bit cuboid. The experiments on several testing images demonstrate that the DFBC achieves state-of-the-art results in terms of several evaluation criteria, showing that the DFBC is promising for image encryption.

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Section: Hyperchaotic Systemsmentioning

confidence: 99%

Image Encryption Based on Dynamic Filtering and Bit Cuboid Operations

Xie

et al. 2019

Complexity

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“…Due to the complexities of dynamical networks, outer synchronization between them is difficult and even impossible to achieve without external control. Therefore, many control schemes are adopted to design effective controllers, such as impulsive control [13,14], intermittent control [15,16], pinning control [14][15][16][17], finite-time control [18], and so on. In [14], authors considered the outer synchronization of drive-response networks by combining impulsive and pinning control.…”

Section: Introductionmentioning

confidence: 99%

Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control

2021

Mathematics

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In this paper, outer synchronization of complex-variable networks with complex coupling is considered. Sufficient conditions for achieving outer synchronization using static impulsive pinning controllers are first derived according to the Lyapunov function method and stability theory of impulsive differential equations. From these conditions, the necessary impulsive gains and intervals for given networks can be easily calculated. Further, an adaptive strategy is introduced to design universal controllers and avoid repeated calculations for different networks. Notably, the estimation algorithms of the impulsive gains and intervals are provided. Finally, three numerical examples are performed to verify the effectiveness of the main results.

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“…Therefore coupled networks with Markovian switching can better describe telegraph noise, whereas deterministic systems or stochastic systems driven by Brownian motion mentioned above cannot explain it. Synchronization of coupled networks with Markovian switching has received extensive attention [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Synchronization of stochastic multiple weighted coupled networks with Markovian switching

2020

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We investigate the synchronization of stochastic multiple weighted coupled networks with Markovian switching (SMWCNMS). By designing an appropriate controller, we obtain several sufficient criteria ensuring the pth moment exponential synchronization and almost surely exponential synchronization for SMWCNMS based on graph theory. Moreover, we also investigate the pth moment asymptotical synchronization and almost surely asymptotical synchronization for SMWCNMS. Finally, we provide a numerical example to illustrate the availability of the proposed synchronization criteria.

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Finite-time outer-synchronization for complex networks with Markov jump topology via hybrid control and its application to image encryption

Cited by 46 publications

References 45 publications

Image Encryption Based on Dynamic Filtering and Bit Cuboid Operations

Image Encryption Based on Dynamic Filtering and Bit Cuboid Operations

Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control

Synchronization of stochastic multiple weighted coupled networks with Markovian switching

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