loading page

Finite-time stable of time-varying delay Distributed Parameter Systems with input saturation via Periodically Intermittent Control
  • +1
  • Wenhua Xia,
  • Yiping Luo,
  • Bifeng Zhou,
  • Zhujun Wang
Wenhua Xia
Hunan Institute of Engineering

Corresponding Author:[email protected]

Author Profile
Yiping Luo
Hunan Institute of Engineering
Author Profile
Bifeng Zhou
Hunan electrical college of technology
Author Profile
Zhujun Wang
Hunan Institute of Engineering
Author Profile


A class of time-varying delay distributed parameter systems with input saturation is investigated in this paper. The periodic intermittent control method is adopted to make the system stable in finite time, improve the control performance of the system, and save on control cost. A periodic intermittent controller combined saturated input is designed to ensure the stability of the proposed system in finite time. Lyapunov--Krasoviskii stability theory and Matrix inequality techniques are used to analyze the finite-time stability of the system, and sufficient conditions for the system to be stable in finite time are obtained. Finally, the correctness of the theorems is verified by simulation experiments.
13 Aug 2021Submitted to Mathematical Methods in the Applied Sciences
18 Aug 2021Submission Checks Completed
18 Aug 2021Assigned to Editor
10 Sep 2021Reviewer(s) Assigned
31 Dec 2021Review(s) Completed, Editorial Evaluation Pending
01 Jan 2022Editorial Decision: Revise Major
19 Feb 20221st Revision Received
21 Feb 2022Submission Checks Completed
21 Feb 2022Assigned to Editor
16 Jun 2022Reviewer(s) Assigned
10 Dec 2022Review(s) Completed, Editorial Evaluation Pending
11 Dec 2022Editorial Decision: Accept