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2024, Volume 9, Issue 4: 8043-8062. doi: 10.3934/math.2024391
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Reachable set estimation for neutral semi-Markovian jump systems with time-varying delay

  • School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China
  • Received: 13 December 2023 Revised: 25 January 2024 Accepted: 25 January 2024 Published: 26 February 2024

  • MSC : 93E03

  • This work addresses the issue of finding ellipsoidal bounds of reachable sets for neutral semi-Markovian jump systems with time-varying delay and bounded peak disturbances, for which the related result has been rarely proposed for neutral semi-Markovian jump systems. Based on the modified improved Lyapunov-Krasovskii functional, a boundary of the reachable set for neutral semi-Markovian jump systems was obtained with the aid of utilizing a novel integral inequality and combining with the time-delay segmentation technique. The numerical examples are supplied to verify the effectiveness of the obtained results.

    Citation: Xipan Zhang, Changchun Shen, Dingju Xu. Reachable set estimation for neutral semi-Markovian jump systems with time-varying delay[J]. AIMS Mathematics, 2024, 9(4): 8043-8062. doi: 10.3934/math.2024391

    Related Papers:

  • This work addresses the issue of finding ellipsoidal bounds of reachable sets for neutral semi-Markovian jump systems with time-varying delay and bounded peak disturbances, for which the related result has been rarely proposed for neutral semi-Markovian jump systems. Based on the modified improved Lyapunov-Krasovskii functional, a boundary of the reachable set for neutral semi-Markovian jump systems was obtained with the aid of utilizing a novel integral inequality and combining with the time-delay segmentation technique. The numerical examples are supplied to verify the effectiveness of the obtained results.


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