Regular Papers
International Journal of Control, Automation and Systems 2018; 16(4): 1637-1647
Published online July 25, 2018
https://doi.org/10.1007/s12555-017-0416-4
© The International Journal of Control, Automation, and Systems
Robust H∞ Performance of Discrete-time Neural Networks with Uncertainty and Time-varying Delay
In this paper, we are concerned with the robust H∞ problem for a class of discrete -time neural networks with uncertainties. Under a weak assumption on the activation functional, some novel summation inequality techniques and using a new Lyapunov-Krasovskii (L-K) functional, a delay-dependent condition guaranteeing the robust asymptotically stability of the concerned neural networks is obtained in terms of a Linear Matrix Inequality(LMI). It is shown that this stability condition is less conservative than some previous ones in the literature. The controller gains can be derived by solving a set of LMIs. Finally, two numerical examples result are given to illustrate the effectiveness of the developed theoretical results."
Keywords H∞ control, linear matrix inequality, stability, time-varying delay.
PDF
Standard view
Export citation
Share Article
Regular Papers
International Journal of Control, Automation and Systems 2018; 16(4): 1637-1647
Published online August 1, 2018 https://doi.org/10.1007/s12555-017-0416-4
Copyright © The International Journal of Control, Automation, and Systems.
Robust H∞ Performance of Discrete-time Neural Networks with Uncertainty and Time-varying Delay
M. Syed Ali, K. Meenakshi, R. Vadivel, and O. M. Kwon*
Chungbuk National University
Abstract
In this paper, we are concerned with the robust H∞ problem for a class of discrete -time neural networks with uncertainties. Under a weak assumption on the activation functional, some novel summation inequality techniques and using a new Lyapunov-Krasovskii (L-K) functional, a delay-dependent condition guaranteeing the robust asymptotically stability of the concerned neural networks is obtained in terms of a Linear Matrix Inequality(LMI). It is shown that this stability condition is less conservative than some previous ones in the literature. The controller gains can be derived by solving a set of LMIs. Finally, two numerical examples result are given to illustrate the effectiveness of the developed theoretical results."
Keywords: H∞ control, linear matrix inequality, stability, time-varying delay.
Vol. 23, No. 1, pp. 1~88
Stats or Metrics
Share this article on
Related articles in IJCAS
-
Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay
Lijuan Zhu* and Chengyun Zhu
International Journal of Control, Automation and Systems 2021; 19(7): 2385-2394 -
Stabilization of Delayed Fuzzy Neutral-type Systems Under Intermittent Control
R. Vadivel, S. Saravanan, B. Unyong, P. Hammachukiattikul, Keum-Shik Hong, and Gyu M. Lee
International Journal of Control, Automation and Systems 2021; 19(3): 1408-1425 -
Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay
Ouarda Lamrabet*, El Houssaine Tissir, Nabil El Fezazi, and Fatima El Haoussi
International Journal of Control, Automation and Systems 2020; 18(9): 2242-2250
