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Volume 5 Issue 3
May  2018

IEEE/CAA Journal of Automatica Sinica

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Jidong Wang, Zhanshan Wang, Sanbo Ding and Huaguang Zhang, "Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems," IEEE/CAA J. Autom. Sinica, vol. 5, no. 3, pp. 758-764, Mar. 2018. doi: 10.1109/JAS.2018.7511087
Citation: Jidong Wang, Zhanshan Wang, Sanbo Ding and Huaguang Zhang, "Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems," IEEE/CAA J. Autom. Sinica, vol. 5, no. 3, pp. 758-764, Mar. 2018. doi: 10.1109/JAS.2018.7511087

Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems

doi: 10.1109/JAS.2018.7511087
Funds:

the National Natural Science Foundation of China 61473070

the National Natural Science Foundation of China 61433004

the National Natural Science Foundation of China 61627809

SAPI Fundamental Research Funds 2013ZCX01

SAPI Fundamental Research Funds 2013ZCX14

More Information
  • This paper investigates the stability of time-delay systems via a multiple integral approach. Based on the refined Jensen-based inequality, a novel multiple integral inequality is proposed. Applying the multiple integral inequality to estimate the derivative of Lyapunov-Krasovskii functional (LKF) with multiple integral terms, a novel stability condition is formulated for the linear time-delay systems. Two numerical examples are employed to demonstrate the improvements of our results.

     

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