Further result on \(\mathcal{H}_\infty\) state estimation of static neural networks with interval time-varying delay
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Authors
Xiaojun Zhang
- School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, P. R. China.
Xin Wang
- School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, P. R. China.
Shouming Zhong
- School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, P. R. China.
Abstract
This paper considers the \(\mathcal{H}_\infty\) state estimation problem of static neural networks with interval timevarying
delay. By constructing a suitable Lyapunov-Krasovskii functional, the single-integral and doubleintegral
terms in the time derivative of the Lyapunov functional are handled by utilizing the inverses of
first-order and squared reciprocally convex parameters techniques. An improved delay dependent criterion
is established such that the error system is globally asymptotically stable with \(\mathcal{H}_\infty\) performance. The desired
estimator gain matrix and the optimal performance index are obtained via solving a convex optimization
problem subject to linear matrix inequalities. Two numerical examples are given to illustrate the effectiveness
of the proposed method.
Share and Cite
ISRP Style
Xiaojun Zhang, Xin Wang, Shouming Zhong, Further result on \(\mathcal{H}_\infty\) state estimation of static neural networks with interval time-varying delay, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 8, 5291--5305
AMA Style
Zhang Xiaojun, Wang Xin, Zhong Shouming, Further result on \(\mathcal{H}_\infty\) state estimation of static neural networks with interval time-varying delay. J. Nonlinear Sci. Appl. (2016); 9(8):5291--5305
Chicago/Turabian Style
Zhang, Xiaojun, Wang, Xin, Zhong, Shouming. "Further result on \(\mathcal{H}_\infty\) state estimation of static neural networks with interval time-varying delay." Journal of Nonlinear Sciences and Applications, 9, no. 8 (2016): 5291--5305
Keywords
- Static neural networks
- \(\mathcal{H}_\infty\) state estimation
- reciprocally convex approach
- interval time-varying delay.
MSC
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