Journal of Shanghai Jiaotong University ›› 2020, Vol. 54 ›› Issue (9): 967-972.doi: 10.16183/j.cnki.jsjtu.2020.147

• Guidance, Navigation and Control • Previous Articles     Next Articles

Stability Criteria of Linear Time-Delay Singular Systems Based on Wirtinger-Type Integral Inequality

ZHU Jinliang1, WANG Ting1(), LI Tao2   

  1. 1. School of Information Science and Technology, Nanjing Forestry University,Nanjing 210037, China
    2. School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
  • Received:2020-05-25 Online:2020-09-28 Published:2020-10-10
  • Contact: WANG Ting


Aimed at the asymptotic stability of linear time-delay singular system,the time-delay interval was evenly divided by using the time-delay division method, and a Lyapunov-Krasovskii functional (LKF) with multiple integral terms was constructed to effectively utilize the time-delay information of each sub-interval. Next, some improved Wirtinger-type integral inequalities were employed to estimate the LKF derivative and obtain a tighter estimation. Then, delay-dependent sufficient conditions were established to ensure the asymptotic stability of the addressed system. Finally, by using three numerical examples, comparisons and simulations were presented to illustrate the efficiency and superiority of the proposed method.

Key words: time-delay singular system, asymptotic stability, Wirtinger-type integral inequality, linear matrix inequality (LMI)

CLC Number: