State estimation for discrete-time fractional-order neural networks with time-varying delays and uncertainties

Deng, Jie; Li, Hong-Li; Cao, Jinde; Hu, Cheng; Jiang, Haijun

doi:10.1016/j.chaos.2023.114187

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2024

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Cited by 5 publications

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Complete synchronization of discrete‐time fractional‐order Cohen–Grossberg neural networks with time delays via adaptive nonlinear controller

Li,

Fan

et al. 2024

Math Methods in App Sciences

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In this paper, we dedicate to investigate complete synchronization of discrete‐time fractional‐order Cohen–Grossberg neural networks (DFCGNNs) with time delays. In order to resolve the problem, we have made the following efforts. First, we establish a fractional‐order convergence principle by employing nabla Laplace transform and analysis techniques. Next, an adaptive nonlinear controller is designed, and then several complete synchronization criteria of DFCGNNs are obtained with the help of inequality techniques and convergence principle we newly establish. Finally, a numerical example is presented to show the validity of theorical results we derive.

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Complete synchronization of discrete‐time fractional‐order Cohen–Grossberg neural networks with time delays via adaptive nonlinear controller

Li,

Fan

et al. 2024

Math Methods in App Sciences

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Novel Stability and Stabilization Conditions for Fractional‐Order Systems With Mixed Delays

Chen,

Lu,

Zhang

et al. 2024

Math Methods in App Sciences

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This paper investigates the stability and stabilization of the fractional‐order systems with mixed delays (FOSMDs), including discrete delays and distributed delays. At first, an order‐dependent stability condition for FOSMDs is derived with the use of small gain theorem. Then, based on the stability condition, a robust stability condition for the uncertain FOSMDs with polytopic uncertainties is proposed. Next, with the robust stability condition and the designed state feedback controllers, a robust stabilization condition for the uncertain FOSMDs is proposed. At last, several numerical examples are put forward to manifest the effectiveness of the obtained results.

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Complete synchronization of discrete-time variable-order fractional neural networks with time delays

Li,

Zhang

et al. 2024

Chinese Journal of Physics

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State estimation for discrete-time fractional-order neural networks with time-varying delays and uncertainties

Cited by 5 publications

References 38 publications

Complete synchronization of discrete‐time fractional‐order Cohen–Grossberg neural networks with time delays via adaptive nonlinear controller

Complete synchronization of discrete‐time fractional‐order Cohen–Grossberg neural networks with time delays via adaptive nonlinear controller

Novel Stability and Stabilization Conditions for Fractional‐Order Systems With Mixed Delays

Complete synchronization of discrete-time variable-order fractional neural networks with time delays

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