Based on Takagi-Sugeno(T-S) fuzzy models, this paper investigates practicalfinite-time(PFET) synchronization of complex networks with a linear coupling and two different kinds of nonlinear couplings, including nonlin...
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Based on Takagi-Sugeno(T-S) fuzzy models, this paper investigates practicalfinite-time(PFET) synchronization of complex networks with a linear coupling and two different kinds of nonlinear couplings, including nonlinear relative state coupling and nonlinear absolute state coupling. A new stability lemma is established based on different time intervals. Two kinds of controllers are designed including semi-intermittent state feedback control and semi-intermittent adaptive control. As a result, with the help of new stability lemma and control schemes, the goal of PFET synchronization is realized via Lyapunov functionals. Eventually, simulation experiments are presented to verify our new results.
The practicalfinite -time (PFT) synchronization of fractional -order delayed fuzzy cellular neural networks (FODFCNNs) is presented in this article. Initially, a useful practicalfinitetime (FT) stable lemma is deve...
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The practicalfinite -time (PFT) synchronization of fractional -order delayed fuzzy cellular neural networks (FODFCNNs) is presented in this article. Initially, a useful practicalfinitetime (FT) stable lemma is developed, serving as an efficient instrument for the PFT synchronization of fractional -order systems. Subsequently, a new PFT synchronization criterion for FODFCNNs is derived using the designed controller and the aforementioned lemma. Simultaneously, the settling time for PFT synchronization is determined, relying on specific controller parameters and the initial conditions of the considered systems. Ultimately, the accuracy of the derived outcomes is confirmed through a numerical simulation.
This paper delves into the practical finite-time synchronization (FTS) problem for inertial neural networks (INNs) with external disturbances. Firstly, based on Lyapunov theory, the local practical FTS of INNs with bo...
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This paper delves into the practical finite-time synchronization (FTS) problem for inertial neural networks (INNs) with external disturbances. Firstly, based on Lyapunov theory, the local practical FTS of INNs with bounded external disturbances can be realized by effective finitetime control. Then, building upon the local results, we extend the synchronization to a global practical level under delayed impulsive control. By designing appropriate hybrid controllers, the global practical FTS criteria of disturbed INNs are obtained and the corresponding settling time is estimated. In addition, for impulsive control, the maximum impulsive interval is used to describe the frequency at which the impulses occur. We optimize the maximum impulsive interval, aiming to minimize impulses occurrence, which directly translates to reduced control costs. Moreover, by comparing the global FTS results for INNs without external disturbances, it can be found that the existence of perturbations necessitates either higher impulsive intensity or denser impulses to maintain networks synchronization. Two examples are shown to demonstrate the reasonableness of designed hybrid controllers.
This paper focuses on addressing the practical finite-time synchronization (PFTS) problem of heterogeneous fractional-order complex dynamical networks (FCDNs) through event-triggered feedback control (ETFC). Firstly, ...
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This paper focuses on addressing the practical finite-time synchronization (PFTS) problem of heterogeneous fractional-order complex dynamical networks (FCDNs) through event-triggered feedback control (ETFC). Firstly, a novel practicalfinite-time stability lemma is proposed based on the fractional-order differential inequality (c)(t0DtV)-V-alpha(t)<= -p(1)V(t)-p(2)V(beta)(t)+q, which plays a crucial role in analyzing PFTS. Secondly, a novel ETFC protocol is designed where the information transmission of the controller occurs at a sequence of state-dependent instants. Thirdly, using the aforementioned lemma and fractional Lyapunov theory, synchronization criteria for heterogeneous FCDNs can be derived, and Zeno behavior is excluded. Finally, the numerical example involving the PFTS of a fractional-order Lorenz's circuit is provided to demonstrate the effectiveness of the proposed theoretical results.
The controlling and synchronizing chaotic systems (CSs) are crucial aspects of engineering, with broad applications across various applied sciences, such as secure communications, nonlinear circuit design, biomedical ...
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The controlling and synchronizing chaotic systems (CSs) are crucial aspects of engineering, with broad applications across various applied sciences, such as secure communications, nonlinear circuit design, biomedical engineering, and image processing. This paper deals with the complex problem of achieving finite-time projective synchronization for uncertain CSs with incommensurate non-integer orders using adaptive fuzzy sliding-mode control (AFSMC). Specifically, we focus on practical projective synchronization, introducing two novel control approaches that effectively mitigate the chattering phenomenon, a common issue in conventional sliding mode control. To achieve this, two innovative non-singular sliding surfaces with finite-time properties are formulated. This type of sliding surface enhances projective synchronization accuracy, response speed, and robustness. The adaptive fuzzy logic systems, known for their universal approximation capability, are employed to estimate continuous functional uncertainties. We rigorously analyzed the stability of both approaches using Lyapunov's direct method. Extensive simulations confirm the effectiveness and benefits of our proposed methods. These methods significantly reduce or eliminate chattering and achieve practical projective synchronization in a finitetime. This makes them well-suited for real-world applications in complex CSs.
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