Generalised state estimation of Markov jump neural networks based on the Bessel–Legendre inequality

2019 ◽  
Vol 13 (9) ◽  
pp. 1284-1290 ◽  
Author(s):  
Hao Shen ◽  
Shiyu Jiao ◽  
Jianwei Xia ◽  
Ju H. Park ◽  
Xia Huang
2019 ◽  
Vol 17 (5) ◽  
pp. 1131-1140 ◽  
Author(s):  
Jianning Li ◽  
Zhujian Li ◽  
Yufei Xu ◽  
Kaiyang Gu ◽  
Wendong Bao ◽  
...  

2019 ◽  
Vol 356 ◽  
pp. 113-128 ◽  
Author(s):  
Hao Shen ◽  
Mengping Xing ◽  
Shicheng Huo ◽  
Zheng-Guang Wu ◽  
Ju H. Park

Author(s):  
Dongxiao Hu ◽  
Xiaona Song ◽  
Xingru Li

This work mainly concentrates on the state estimation for Markov jump coupled neural networks (MJCNNs) with reaction-diffusion terms, in which the memory controller is employed. First, the considered MJCNNs model is introduced, and the dynamic error system can be obtained based on the proposed state estimator. Then, a memory controller that involves constant signal transmission delay is designed. Moreover, by Lyapunov functional method, inequality technique and Kronecker product law, a novel stable and extended dissipative analysis criteria can be established to ensure that the stability of the error system the error system. Meanwhile, the controller gains can be obtained by solving linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the developed method.


2019 ◽  
Vol 356 (17) ◽  
pp. 10155-10178 ◽  
Author(s):  
Jing Wang ◽  
Mengping Xing ◽  
Yonghui Sun ◽  
Jianzhen Li ◽  
Junwei Lu

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