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《IEEE/CAA Journal of Automatica Sinica》 2018年03期
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Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems

Jidong Wang  Zhanshan Wang  Sanbo Ding  Huaguang Zhang  
【摘要】: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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