Abstract
This paper deals with the problem of delay-dependent robust H ∞ control for discrete-time recurrent neural networks (DRNNs) with norm-bounded parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. For the robust stabilization problem, a state feedback controller is designed to ensure global robust stability of the closed-loop system about its equilibrium point for all admissible uncertainties, while for the robust H∞ control problem, attention is focused on the design of a state feedback controller such that in addition to the requirement of the global robust stability, a prescribed H∞ performance level for all delays to satisfy both the lower bound and upper bound of the interval time-varying delay is also required to be achieved. A linear matrix inequality approach is developed to solve these problems. It is shown that the desired state feedback controller can be constructed by solving certain LMIs. A numerical example is provided to demonstrate the effectiveness and applicability of the proposed results. ICIC International
| Original language | English |
|---|---|
| Pages (from-to) | 3483-3493 |
| Number of pages | 11 |
| Journal | International Journal of Innovative Computing, Information and Control |
| Volume | 5 |
| Issue number | 10 |
| Publication status | Published - 2009 Oct 1 |
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All Science Journal Classification (ASJC) codes
- Software
- Theoretical Computer Science
- Information Systems
- Computational Theory and Mathematics
Cite this
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Delay-dependent H∞ control for discrete-time uncertain recurrent neural networks with intrerval time-varying delay. / Lu, Chien Yu; Shyr, Wen Jye; Yao, Kai Chao; Liao, Chin Wen; Huang, Chuan Kuei.
In: International Journal of Innovative Computing, Information and Control, Vol. 5, No. 10, 01.10.2009, p. 3483-3493.Research output: Contribution to journal › Article
TY - JOUR
T1 - Delay-dependent H∞ control for discrete-time uncertain recurrent neural networks with intrerval time-varying delay
AU - Lu, Chien Yu
AU - Shyr, Wen Jye
AU - Yao, Kai Chao
AU - Liao, Chin Wen
AU - Huang, Chuan Kuei
PY - 2009/10/1
Y1 - 2009/10/1
N2 - This paper deals with the problem of delay-dependent robust H ∞ control for discrete-time recurrent neural networks (DRNNs) with norm-bounded parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. For the robust stabilization problem, a state feedback controller is designed to ensure global robust stability of the closed-loop system about its equilibrium point for all admissible uncertainties, while for the robust H∞ control problem, attention is focused on the design of a state feedback controller such that in addition to the requirement of the global robust stability, a prescribed H∞ performance level for all delays to satisfy both the lower bound and upper bound of the interval time-varying delay is also required to be achieved. A linear matrix inequality approach is developed to solve these problems. It is shown that the desired state feedback controller can be constructed by solving certain LMIs. A numerical example is provided to demonstrate the effectiveness and applicability of the proposed results. ICIC International
AB - This paper deals with the problem of delay-dependent robust H ∞ control for discrete-time recurrent neural networks (DRNNs) with norm-bounded parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. For the robust stabilization problem, a state feedback controller is designed to ensure global robust stability of the closed-loop system about its equilibrium point for all admissible uncertainties, while for the robust H∞ control problem, attention is focused on the design of a state feedback controller such that in addition to the requirement of the global robust stability, a prescribed H∞ performance level for all delays to satisfy both the lower bound and upper bound of the interval time-varying delay is also required to be achieved. A linear matrix inequality approach is developed to solve these problems. It is shown that the desired state feedback controller can be constructed by solving certain LMIs. A numerical example is provided to demonstrate the effectiveness and applicability of the proposed results. ICIC International
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M3 - Article
AN - SCOPUS:70350492295
VL - 5
SP - 3483
EP - 3493
JO - International Journal of Innovative Computing, Information and Control
JF - International Journal of Innovative Computing, Information and Control
SN - 1349-4198
IS - 10
ER -