Asynchronous Boundary Control of Markov Jump Neural Networks With Diffusion Terms

This article concerns with the asynchronous boundary control for a class of Markov jump reaction-diffusion neural networks (MJRDNNs). In consideration of nonsynchronous behavior between the system modes and controller modes, a novel asynchronous boundary control design is proposed for MJRDNNs. Based...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2023-08, Vol.53 (8), p.4962-4971
Main Authors: Han, Xin-Xin, Wu, Kai-Ning, Niu, Yugang
Format: Article
Language:English
Subjects:
Artificial neural networks
Asynchronous switching
Boundary control
Control design
Control systems design
Controllers
finite-time <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H ∞ control
Markov jump reaction-diffusion neural networks (MJRDNNs)
Markov processes
Neural networks
Neurons
Process control
Switches
Symmetric matrices
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Summary:This article concerns with the asynchronous boundary control for a class of Markov jump reaction-diffusion neural networks (MJRDNNs). In consideration of nonsynchronous behavior between the system modes and controller modes, a novel asynchronous boundary control design is proposed for MJRDNNs. Based on the designed asynchronous boundary controller, a sufficient criterion is established to ensure the stochastic finite-time boundedness for the considered MJRDNNs by constructing a Lyapunov-Krasovskii functional and utilizing Wirtinger-type inequality. Then, a sufficient condition is acquired to guarantee that MJRDNNs are stochastic finite-time bounded with H_{\infty } performance. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design method.
ISSN:2168-2267
2168-2275
DOI:10.1109/TCYB.2022.3151709