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11 November 2021 The critical effect of diffusion coefficients and boundary data on the global exponential stabilization of delayed Markovian jump neural control systems
Puchen Liu, Yan Jin, Guoyan Cao
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Proceedings Volume 12076, 2021 International Conference on Image, Video Processing, and Artificial Intelligence; 120760U (2021) https://doi.org/10.1117/12.2618250
Event: Fourth International Conference on Image, Video Processing, and Artificial Intelligence (IVPAI 2021), 2021, Shanghai, China
Abstract
By employing Friedrichs’ inequality and constructing new Lyapunov-Krasovskii functional, we have investigated the stabilization of delayed reaction-diffusion control systems with Markovian jump parameters and Robin boundary conditions. Different from existing traditional results, our easy-to-test control design on global exponential stabilization in the mean square is based also on diffusion coefficients and boundary conditions, which discloses the crucial role of the diffusion effect and boundary information in the stabilization of neural control systems. The model here includes many models as special cases and the global exponential stabilization has a wider adaptive range. An example and its simulations are demonstrated to verify the effectiveness of theoretical results.
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Puchen Liu, Yan Jin, and Guoyan Cao "The critical effect of diffusion coefficients and boundary data on the global exponential stabilization of delayed Markovian jump neural control systems", Proc. SPIE 12076, 2021 International Conference on Image, Video Processing, and Artificial Intelligence, 120760U (11 November 2021); https://doi.org/10.1117/12.2618250
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