Generalized synchronization of commensurate fractional-order chaotic systems: Applications in secure information transmission

Martínez-Fuentes, Óscar; Montesinos-García, Juan Javier; Gómez‐Aguilar, J.F.

doi:10.1016/j.dsp.2022.103494

Cited by 15 publications

(5 citation statements)

References 31 publications

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“…Also, we calculate the equation (33) for this case and write it in Table 2. As seen in this table, the proposed method in this paper has a less mean synchronization error compared to the Martínez-Fuentes et al (2022) method.…”

Section: Simulation and Experimental Resultsmentioning

confidence: 76%

“…To show the advantages of the proposed method in this paper, we add one more comparison. We select a proposed method in Martı´nez-Fuentes et al (2022). We use this method for the synchronization of two fractional-order systems with variable order and parameter as follows…”

Section: Simulation and Experimental Resultsmentioning

confidence: 99%

“…In Martínez-Guerra et al (2022) and Martínez-Fuentes and Martínez-Guerra (2019), a globally Mittag–Leffler observer is designed for nonlinear fractional-order systems. In Martínez-Fuentes et al (2022), generalized synchronization of commensurate FOC systems considering a class of chaotic nonlinear fractional systems of commensurate order called Liouvillian’s systems is done. Shao et al (2016) designed a sliding mode synchronization controller based on the nonlinear fractional-order disturbance observer (FODO) to synchronize the fractional-order jerk systems in the presence of unknown bounded disturbances.…”

Section: Introductionmentioning

confidence: 99%

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Synchronization of time-varying fractional-order chaotic systems in the presence of unknown disturbance using a fast disturbance identification

Gharamaleki

Badamchizadeh

Ghaemi

et al. 2023

Transactions of the Institute of Measurement and Control

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This paper studies the synchronization of fractional-order chaotic systems in the presence of unknown external disturbances. A new disturbance identification method using fractional-order algebraic identification is proposed to handle unknown disturbances. In order to guarantee system stability, the nonlinear state-feedback controller is designed based on the Lyapunov theory. All system parameters and orders, as well as the external disturbances, are considered time-varying in this paper. The simulation results show that the estimation of unknown disturbance is executed more quickly and accurately using the proposed method, which also leads to fast and precise synchronization of the chaotic systems. A circuit implementation is also performed to identify the unknown disturbances in a fractional-order electronic chaotic oscillator system to evaluate the practicability of the proposed approach.

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Section: Simulation and Experimental Resultsmentioning

confidence: 76%

Section: Simulation and Experimental Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Synchronization of time-varying fractional-order chaotic systems in the presence of unknown disturbance using a fast disturbance identification

Gharamaleki

Badamchizadeh

Ghaemi

et al. 2023

Transactions of the Institute of Measurement and Control

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“…Despite individuals in these two networks behave in quite different ways because of nonidentical dynamics and different topological structures, they will ultimately achieve harmonious coexistence. 7,32 Moreover, GOS plays an important role in secure communications, 33 image encryption, 34 reservoir computing, 35 and many other fields. 36,37 Hence, it is of theoretical value and practical significance to investigate GOS between networks.…”

Section: Introductionmentioning

confidence: 99%

Generalized outer synchronization and parameters identification of uncertain delayed hypernetworks with stochastic noises

Wang

Lü

et al. 2023

Intl J Robust & Nonlinear

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Synchronization of hypernetworks has been extensively researched due to its potential applications in various contexts, such as secure communications and power grid engineering. However, the existing works thus far have primarily been devoted to inner synchronization or complete outer synchronization with identical node dynamics and topology structures. To investigate harmonious coexistence between two networks with nonidentical node dynamics and reduce control costs as well, this paper focuses on generalized outer synchronization (GOS) and parameters identification of uncertain delayed hypernetworks with stochastic noises. Regardless of whether the node parameters are known or not, based on Lyapunov stability and the LaSalle-type invariance principle for stochastic differential equations with multiple delays, some sufficient conditions are exhibited to reach GOS almost surely via adaptive control schemes.Moreover, the unknown node parameter vectors are identified by the designed updating laws. In addition, some corollaries are deduced and indicate that our proposed methods contain single-layer networks and complete synchronization methods as special cases. Furthermore, numerical simulations are provided to verify the effectiveness of our approaches. In particular, it is revealed that network parameters, including time delays, coupling strengths, and noise intensities, have an impact on the performance of the proposed algorithms.

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“…In the past two decades, increasing attention has been paid to the analysis and synthesis of switched systems due to their significance in both theory and applications, and many significant results have been obtained for the analysis and design of switched systems. In the year of 1990 13 , the discovery of chaos synchronization by Pecora and Carroll greatly enhanced the research enthusiasm for the chaos control problem, such as the complete synchronization [14][15][16] , anti-synchronization [17][18][19] , phase synchronization 20,21 , lag synchronization 22,23 , generalized synchronization 24,25 , projective synchronization 26,27 , topological synchronization 28 , etc. Simultaneously, lots of useful results have been obtained.…”

Section: Introductionmentioning

confidence: 99%

Adaptive coexistence of synchronization and anti-synchronization for a class of switched chaotic systems

Liu

2022

Preprint

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This paper addresses the problem of coexistence of synchronization and anti-synchronization (CSAS) for a class of switched chaotic systems by adaptive control method. The unified chaotic system as the subsystems of the switched system is investigated. Firstly, two theorems describe the necessary and sufficient condition for the CSAS of the chaotic systems and proofed rigorously. Secondly, according to the given two theorems, two algorithms are given to search the synchronization variables and anti-synchronization variables in the chaotic systems. Thirdly, the CSAS of the switched chaotic system can be achieved by the designed adaptive global controller with only one input channel under the arbitrary switching signal. Finally, the numerical simulation results verify the validity and effectiveness of the method we obtained.

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Generalized synchronization of commensurate fractional-order chaotic systems: Applications in secure information transmission

Cited by 15 publications

References 31 publications

Synchronization of time-varying fractional-order chaotic systems in the presence of unknown disturbance using a fast disturbance identification

Synchronization of time-varying fractional-order chaotic systems in the presence of unknown disturbance using a fast disturbance identification

Generalized outer synchronization and parameters identification of uncertain delayed hypernetworks with stochastic noises

Adaptive coexistence of synchronization and anti-synchronization for a class of switched chaotic systems

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