On the Decay Rate of Discrete-Time Linear Delay Systems With Cone Invariance

被引:13
|
作者
Shen, Jun [1 ]
Lam, James [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 211106, Jiangsu, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Cone invariance; decay rate; positive systems; time-delay systems; HOMOGENEOUS POSITIVE SYSTEMS; EXPONENTIAL STABILITY; NETWORKS;
D O I
10.1109/TAC.2016.2610104
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This technical note is concerned with the decay rate constrained stability analysis for linear delay systems that possess cone-invariant property. In order to capture the decay rate of such systems, we introduce a nondecreasing positive function whose reciprocal represents the decay rate. Under mild assumptions on the growth rate of this function, an explicit condition is given to ensure that a cone-preserving linear system with unbounded time-varying delays is asymptotically stable with a given decay rate. As typical cases, necessary and sufficient conditions are given to characterize the decay rate when the delay is restricted by a linear, sublinear or logarithmic growth rate. Finally, some numerical examples are given to illustrate the effectiveness of the theoretical results.
引用
收藏
页码:3442 / 3447
页数:6
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