This paper proposes a unified framework to achieve the finite/fixed-time synchronization of memristor-based fuzzy delayed neural networks considering both Markov jumping phenomenon and external disturbance. Under the ...
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This paper proposes a unified framework to achieve the finite/fixed-time synchronization of memristor-based fuzzy delayed neural networks considering both Markov jumping phenomenon and external disturbance. Under the designed common controller, by regulating its main control parameters, the goals of finite-time and fixed-timesynchronization for the network can be achieved separately. Besides, by integrating algebraic inequality technologies, the fuzzy set theory and Lyapunov theory, a new finite/fixed-time theorem can be obtained for the drive-response system. Taking into account more complex Lyapunov-Krasovskii functional involving mode-dependent terms and double integral terms, is more closer to practical applications than those in the existing results. Finally, an example is presented to substantiate the effectiveness of the theoretical results.
This paper investigates the finite/fixed-time synchronization problem of delayed inertial memristive neural networks (DIMNNs) using interval matrix-based methods within a unified control framework. By employing set-va...
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This paper investigates the finite/fixed-time synchronization problem of delayed inertial memristive neural networks (DIMNNs) using interval matrix-based methods within a unified control framework. By employing set-valued mapping and differential inclusion theory, two distinct methods are applied to handle the switching behavior of memristor parameters: the maximum absolute value method and the interval matrix method. Based on these different approaches, two control strategies are proposed to select appropriate control parameters, enabling the system to achieve finite and fixedtimesynchronization, respectively. Additionally, the resulting theoretical criteria differ based on the chosen control strategy, with one expressed in algebraic form and the other in the form of linear matrix inequalities (LMIs). Numerical simulations demonstrate that the interval matrix method outperforms the maximum absolute value method in terms of handling memristor parameter switching, achieving faster finite/fixed-time synchronization. Furthermore, the theoretical results are extended to the field of image encryption, where the response system is utilized for decryption and expanding the keyspace.(c) 2023 Elsevier Ltd. All rights reserved.
This paper is concerned with the finite/fixed-time synchronization (FFTS) problems of two delayed memristive reaction-diffusion neural networks (MRDNNs). By designing appropriate state feedback controllers, utilizing ...
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This paper is concerned with the finite/fixed-time synchronization (FFTS) problems of two delayed memristive reaction-diffusion neural networks (MRDNNs). By designing appropriate state feedback controllers, utilizing the Lyapunov function method and inequality techniques, several sufficient criteria are derived to guarantee the FFTS of the drive-response MRDNNs. Taking into account both the influences of time and space, the model, described as a state-dependent switching system here, is more complex and closer to practical applications than those in the existing results. Finally, an example is presented to substantiate the effectiveness of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
This paper pays attention to the synchronization issue of complex-valued memristive neural networks (CVMNNs) that contain reaction-diffusion terms and Markovian jump parameters. To better meet the needs of some practi...
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This paper pays attention to the synchronization issue of complex-valued memristive neural networks (CVMNNs) that contain reaction-diffusion terms and Markovian jump parameters. To better meet the needs of some practical projects, the problem of synchronization investigated in this paper is defined in finitetime and fixedtime;namely, by designing a suitable controller, the synchronization error system can converge to zero in a finite/fixedtime. Additionally, by combining Lyapunov-Krasovskii functional theory and algebraic inequality methods, a novel criterion of finite/fixed-time synchronization for proposed drive and response systems is derived. Note that the finite-time and fixed-timesynchronization criteria are integrated into a unified theorem. Finally, two examples are provided, one is a simple numerical example to account for the feasibility of main results, the other realizes the application of this paper in establishing a spatiotemporal chaotic cryptosystem for image encryption, and the proposed cryptosystem has been illustrated that it has obvious advantages of large key space and high security by simulation results. (C) 2020 Published by Elsevier B.V.
This paper considers a novel class of nonlinear interconnected neural networks (INNs) where the Markovian jump parameters and reaction-diffusion terms are both involved. The nonlinear INNs are studied in the complex d...
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This paper considers a novel class of nonlinear interconnected neural networks (INNs) where the Markovian jump parameters and reaction-diffusion terms are both involved. The nonlinear INNs are studied in the complex domain, which is a meaningful attempt in the research on INNs. Then, by designing a suitable nonlinear controller and employing the Lyapunov functional and algebraic inequality technologies, a finite/fixed-time synchronization criterion in probability can be obtained for the N subsystems. Note that the criteria for synchronization in finitetime and fixedtime are obtained with only one controller and integrated into a unified theorem. A secret communication example is presented, such that the validity and practicability of this paper can be verified.
In this paper, the finite-time and fixed-timesynchronization problems of multi-layer networks are studied. In order to achieve the synchronization, two novel switching controllers are proposed and the effectiveness i...
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In this paper, the finite-time and fixed-timesynchronization problems of multi-layer networks are studied. In order to achieve the synchronization, two novel switching controllers are proposed and the effectiveness is verified by the Lyapunov stability theory. Moreover, the upper bound of time and energy costs are estimated. Specifically, the results show that increasing the synchronization speed will inevitably increase the consumption of control energy, which means there is a trade-off between time and energy costs. Therefore, an index function is given to quantify the time and energy costs, and it is found that adjusting the parameters can minimize the total cost. Finally, the theoretical results are verified by some numerical simulations. & COPY;2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
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