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This essay studied the stability problems of time-invariant-delay system and time-varying-delay system by constructing the Lyapunov-Razumikhn equation, in order to intuitively obtain the difference between time-invariant-delay system and time-varying-delay system, and obtain the upper bound of stability by solving a quadratic equation of one variable.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
Wenfang Xin,Qingmei Ji,Yue Zhang, andYuan Hu
"The stability study of time-delay system based on Lyapunov-Razumikhn", Proc. SPIE 12983, Second International Conference on Electrical, Electronics, and Information Engineering (EEIE 2023), 129831K (15 January 2024); https://doi.org/10.1117/12.3017745
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Wenfang Xin, Qingmei Ji, Yue Zhang, Yuan Hu, "The stability study of time-delay system based on Lyapunov-Razumikhn," Proc. SPIE 12983, Second International Conference on Electrical, Electronics, and Information Engineering (EEIE 2023), 129831K (15 January 2024); https://doi.org/10.1117/12.3017745