TY - GEN
T1 - New Results on State Estimation of Static Neural Networks with Time-Varying Delays
AU - He, Jing
AU - Liang, Yan
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/10/11
Y1 - 2020/10/11
N2 - This paper focuses on studying the H∞ performance state estimation problem for static neural networks (SNNs) with time-varying delays. Consider the estimation problem for delayed SNNs, the previously well-known Lyapunov-Krasovski functional (LKF) methods are devoted to constructing more and more complex functionals, in which each term is positive definite function. Hence it is difficult to solve and optimize in designing estimators. In this paper, the simple delay product type LKF with negative definite terms is established for the use of the Wirtinger based inequality together with mixed convex combination approach. The delay dependent conditions in terms of linear matrix inequalities (LMIs) are obtained which lead to less conservative and more flexible estimator design results. Finally, a numerical example is given to demonstrate the merits over the existing ones.
AB - This paper focuses on studying the H∞ performance state estimation problem for static neural networks (SNNs) with time-varying delays. Consider the estimation problem for delayed SNNs, the previously well-known Lyapunov-Krasovski functional (LKF) methods are devoted to constructing more and more complex functionals, in which each term is positive definite function. Hence it is difficult to solve and optimize in designing estimators. In this paper, the simple delay product type LKF with negative definite terms is established for the use of the Wirtinger based inequality together with mixed convex combination approach. The delay dependent conditions in terms of linear matrix inequalities (LMIs) are obtained which lead to less conservative and more flexible estimator design results. Finally, a numerical example is given to demonstrate the merits over the existing ones.
KW - H state estimation
KW - Lyapunov-Krasovski functional
KW - Static neural networks
KW - Time-varying delay
UR - http://www.scopus.com/inward/record.url?scp=85098853775&partnerID=8YFLogxK
U2 - 10.1109/SMC42975.2020.9283436
DO - 10.1109/SMC42975.2020.9283436
M3 - 会议稿件
AN - SCOPUS:85098853775
T3 - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
SP - 656
EP - 661
BT - 2020 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2020
Y2 - 11 October 2020 through 14 October 2020
ER -