International Journal of Control, Automation and Systems 2017; 15(5): 2385-2394
Published online July 20, 2017
https://doi.org/10.1007/s12555-016-0315-0
© The International Journal of Control, Automation, and Systems
This paper investigates the robust delay-dependent passivity problem of neural networks (NNs) with time-varying delays and parameter uncertainties. A suitable augmented Lyapunov-Krasovskii functional (LKF) with triple integral term, which takes full use of the neuron activation function conditions and the information of time-delay in integral term, is constructed. Furthermore, by utilizing integral inequality proposed recently and the combining reciprocally convex method to estimate the derivative of the LKF, some less conservative robust passivity conditions are derived in terms of LMI. The superiority of presented approaches are demonstrated via two classic numerical examples"
Keywords Integral inequality, neural networks, parameter uncertainties, passivity, time-varying delays.
International Journal of Control, Automation and Systems 2017; 15(5): 2385-2394
Published online October 1, 2017 https://doi.org/10.1007/s12555-016-0315-0
Copyright © The International Journal of Control, Automation, and Systems.
Shen-Ping Xiao*, Hong-Hai Lian, Hong-Bing Zeng, Gang Chen, and Wei-Hua Zheng
Hunan University of Technology
This paper investigates the robust delay-dependent passivity problem of neural networks (NNs) with time-varying delays and parameter uncertainties. A suitable augmented Lyapunov-Krasovskii functional (LKF) with triple integral term, which takes full use of the neuron activation function conditions and the information of time-delay in integral term, is constructed. Furthermore, by utilizing integral inequality proposed recently and the combining reciprocally convex method to estimate the derivative of the LKF, some less conservative robust passivity conditions are derived in terms of LMI. The superiority of presented approaches are demonstrated via two classic numerical examples"
Keywords: Integral inequality, neural networks, parameter uncertainties, passivity, time-varying delays.
Vol. 22, No. 9, pp. 2673~2953
Palraj Jothiappan and Mathiyalagan Kalidass*
International Journal of Control, Automation and Systems 2022; 20(10): 3241-3251Tian Xu* and Yuxiang Wu
International Journal of Control, Automation, and Systems 2024; 22(7): 2108-2121Yaqi Li, Yun Chen*, and Shuangcheng Sun
International Journal of Control, Automation, and Systems 2024; 22(3): 927-935