Effects of delay on the stability of special high-dimensional discrete-time delay systems

Yanao Wang; Lin Li; Fan Wang

doi:10.1117/12.2649480

14 October 2022 Effects of delay on the stability of special high-dimensional discrete-time delay systems

Yanao Wang, Lin Li, Fan Wang

Proceedings Volume 12343, 2nd International Conference on Laser, Optics and Optoelectronic Technology (LOPET 2022); 123431D (2022) https://doi.org/10.1117/12.2649480
Event: 2nd International Conference on Laser, Optics and Optoelectronic Technology (LOPET 2022), 2022, Qingdao, China

Abstract

This paper studies the stability of special high-dimensional discrete-time systems with a single delay. It considers delay effects and characterizes the delay set for the stability of the systems. Results obtained in this paper are as follows. First, a sufficient condition for the delay set to be the whole set is established. This condition is given via matrix norms. Secondly, the delay set are presented for fully coupled high-dimensional systems. The above results are novel and will help to solve the well-known delay margin problems for stabilization and consensus control.

Citation Download Citation

Yanao Wang, Lin Li, and Fan Wang "Effects of delay on the stability of special high-dimensional discrete-time delay systems", Proc. SPIE 12343, 2nd International Conference on Laser, Optics and Optoelectronic Technology (LOPET 2022), 123431D (14 October 2022); https://doi.org/10.1117/12.2649480

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