Discrete-Time Systems With Constrained Time Delays and Delay-Dependent Lyapunov Functions

被引：42
作者：
Pepe, Pierdomenico [1 ]
机构：
[1] Univ LAquila, Dept Informat Engn Comp Sci & Math, Ctr Excellence Res DEWS, I-67100 Laquila, Italy
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2020年 / 65卷 / 04期
关键词：
Delays; Delay effects; Lyapunov methods; Asymptotic stability; Discrete-time systems; Stability criteria; Converse Lyapunov theorems; delays digraphs; discrete-time time-delay systems; input-to-state stability; TO-STATE-STABILITY; VARYING DELAYS; STABILIZATION; NETWORKS; THEOREMS; RAZUMIKHIN; EQUATIONS; ISS;
D O I：
10.1109/TAC.2019.2934391
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
It is proved in this paper that the existence of a delay-dependent suitable Lyapunov function is a necessary and sufficient condition for a discrete-time fully nonlinear time-delay system, with given delays digraph, to be globally asymptotically stable. The same result is provided for the input-to-state stability. The less is the number of edges in the delays digraph, the less is the number of inequalities that are involved in the provided necessary and sufficient Lyapunov conditions. The case of arbitrary time-varying time delays, with no constraints as long as bounded, is covered as a special case.
引用
收藏
页码：1724 / 1730
页数：7
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