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

Advances in Difference Equations

Jiamei Deng¹  Xiao Yu²  Fucheng Liao² 

[1] Leeds Sustainability Institute, Leeds Beckett University, Leeds, UK;School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, China

关键词: nonlinear systems;    Lurie indirect control systems;    absolute stability;    Lyapunov stability theorem;   

DOI  :  10.1186/s13662-017-1094-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the absolute stability problem of time-varying delay Lurie indirect control systems with variable coefficients. A positive-definite Lyapunov-Krasovskii functional is constructed. Some novel sufficient conditions for absolute stability of Lurie systems with single nonlinearity are obtained by estimating the negative upper bound on its total time derivative. Furthermore, the results are generalised to multiple nonlinearities. The derived criteria are especially suitable for time-varying delay Lurie indirect control systems with unbounded coefficients. The effectiveness of the proposed results is illustrated using simulation examples.

【 授权许可】

CC BY