Absolute stability of large-scale time-delay Lurie indirect control systems with unbounded coefficients

Advances in Difference Equations

Xiao Yu¹  Fucheng Liao¹ 

[1] School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, China

关键词: large-scale time-delay system;    lurie indirect control system;    absolute stability;    Lyapunov second method;   

DOI  :  10.1186/s13662-017-1346-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study the absolute stability of large-scale time-delay Lurie indirect control systems with unbounded coefficients. Based on Lyapunov-Krasovskii functional approach, we derive some novel absolute stability conditions for this class of Lurie systems with a single nonlinearity. These conditions are particularly suitable for large-scale time-delay Lurie systems with unbounded coefficients. At the same time, they are also effective for such systems with bounded or constant coefficients. Furthermore, we extend the results obtained to multiple nonlinearities. The effectiveness of the proposed methods is illustrated via two numerical examples.

【 授权许可】

CC BY