Global Exponential Stability and Synchronization of Discrete-Time Fuzzy Bidirectional Associative Memory Neural Networks via Mittag-Leffler Difference Approach

Liu, Yuntao

doi:10.1007/s40815-023-01482-5

Cited by 4 publications

(1 citation statement)

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“…Moreover, to obtain the GFPS conditions, we require the smoothness of the trajectories in two chaotic systems to guarantee the existence, uniqueness and continuousness of solutions in a class of Volterra integral equations. According to the works in the literature [51,52], the global stability of the GFPS error system between two non-smooth chaotic systems is worthy of discussion, and this will be one of our next research points.…”

Section: Discussionmentioning

confidence: 99%

Generalized Function Projective Synchronization of Two Different Chaotic Systems with Uncertain Parameters

Zhen

2023

Applied Sciences

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This study proposes a new approach to realize generalized function projective synchronization (GFPS) between two different chaotic systems with uncertain parameters. The GFPS condition is derived by converting the differential equations describing the synchronization error systems into a series of Volterra integral equations on the basis of the Laplace transform method and convolution theorem, which are solved by applying the successive approximation method in the theory of integral equations. Compared with the results obtained by constructing Lyapunov functions or calculating the conditional Lyapunov exponents, the uncertain parameters and the scaling function factors considered in this paper have fewer restrictions, and the parameter update laws designed for the estimation of the uncertain parameters are simpler and easier to realize physically.

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Section: Discussionmentioning

confidence: 99%

Generalized Function Projective Synchronization of Two Different Chaotic Systems with Uncertain Parameters

Zhen

2023

Applied Sciences

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A new method for global h$$ h $$‐stability analysis for discrete‐time nonlinear systems with time‐varying delays

Zhang,

Yang

et al. 2024

Math Methods in App Sciences

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In this paper, we characterize the global ‐stability of discrete‐time nonlinear systems (DTNSs) with time‐varying delays. The global ‐stability encompasses several well‐known types of stability by using different choices of functions, such as global exponential stability (ES), Lagrange exponential stability (LES), and asymptotic stability. By exploiting a direct method based on the system solutions, we give a sufficient condition for the global ‐stability of the DTNSs in the form of simple inequalities that can be easily handled in MATLAB. Finally, numerical examples are presented to demonstrate the applicability of the method.

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Local synchronization for non-linear stochastic functional systems under sampling control

Yao,

Jiang,

2024

Journal of the Franklin Institute

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Global Exponential Stability and Synchronization of Discrete-Time Fuzzy Bidirectional Associative Memory Neural Networks via Mittag-Leffler Difference Approach

Cited by 4 publications

References 50 publications

Generalized Function Projective Synchronization of Two Different Chaotic Systems with Uncertain Parameters

Generalized Function Projective Synchronization of Two Different Chaotic Systems with Uncertain Parameters

A new method for global h$$ h $$‐stability analysis for discrete‐time nonlinear systems with time‐varying delays

Local synchronization for non-linear stochastic functional systems under sampling control

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