Lyapunov-Krasovskii functionals for linear systems with input delay

被引：3
|
作者：
Aliseyko, A. N. [1 ]
Kharitonov, V. L. [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg 199034, Russia
来源：
IFAC PAPERSONLINE | 2019年 / 52卷 / 18期
关键词：
Time-delay system; Lyapunov-Krasovskii functionals; finite spectrum assignment; Lyapunov matrix; exponential estimate; FINITE SPECTRUM ASSIGNMENT; MATRICES;
D O I：
10.1016/j.ifacol.2019.12.200
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this contribution, linear input delay system with predictor control is studied. The system has some specific properties. First, the time delay affects only the input variable and not the state one. Second, the integral presented in distributed delay term has an exponential type kernel. In this paper we provide the complete type Lyapunov-Krasovskii functionals that take into account these specific properties of the system. The functionals are applied to derive exponential bounds for the solutions of the system. Copyright (C) 2019. The Authors. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：19 / 24
页数：6
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