Delay-independent stability conditions for a class of nonlinear difference systems

被引：8
|
作者：
Aleksandrov, A. Yu. [1 ,2 ]
Aleksandrova, E. B. [2 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
[2] ITMO Univ, 49 Kronverksky Ave, St Petersburg 197101, Russia
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 07期
基金：
俄罗斯基础研究基金会;
关键词：
VOLTERRA INTEGRODIFFERENTIAL EQUATIONS; TIME-VARYING DELAYS; DISCRETIZATION SCHEME; PRESERVES STABILITY; POSITIVE SYSTEMS; STABILIZATION;
D O I：
10.1016/j.jfranklin.2018.02.020
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper addresses the asymptotic stability problem for a class of difference systems with nonlinearities of a sector type and time-delay. A new approach to Lyapunov-Krasovskii functionals constructing for considered systems is proposed. On the basis of the approach, delay-independent asymptotic stability conditions and estimates of the convergence rate of solutions are derived. In addition, stability of perturbed systems is investigated in the case where nonstationary perturbations admit zero mean values. Some examples are given to illustrate the obtained results. (c) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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页码：3367 / 3380
页数：14
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