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.
引用
收藏
页码：3367 / 3380
页数：14
相关论文
共 50 条
  • [31] D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems
    Bokharaie, Vahid Samadi
    Mason, Oliver
    Verwoerd, Mark
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (12) : 2882 - 2885
  • [32] Delay-independent asymptotic stability of a class of delayed cellular neural networks
    Yang, Degang
    Hu, Chunyan
    Hu, Zhiqiang
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 199 - 201
  • [33] Delay-independent sliding mode control of nonlinear time-delay systems
    Hong, F
    Ge, SS
    Lee, TH
    ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, : 4068 - 4073
  • [34] DELAY-INDEPENDENT ROBUST STABILITY OF UNCERTAIN LINEAR-SYSTEMS
    LUO, JS
    JOHNSON, A
    VANDENBOSCH, PPJ
    SYSTEMS & CONTROL LETTERS, 1995, 24 (01) : 33 - 39
  • [35] Further results on the delay-independent asymptotic stability of linear systems
    Hmamed, A., 1600, (22):
  • [36] Delay-independent Stability of Cone-invariant Monotone Systems
    Feyzmandavian, Hamid Reza
    Charalambous, Themistoklis
    Johansson, Mikael
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 6361 - 6366
  • [37] Strong delay-independent stability analysis of neutral delay systems with commensurate delays
    Song, Yunxia
    Jiang, Huaiyuan
    Yang, Xuefei
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (14): : 7600 - 7619
  • [38] D-stability and delay-independent stability of monotone nonlinear systems with max-separable Lyapunov functions
    Besselink, B.
    Feyzmahdavian, H. R.
    Sandberg, H.
    Johansson, M.
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 3172 - 3177
  • [39] DELAY-INDEPENDENT STABILITY OF A SPECIAL SEQUENCE OF NEUTRAL DIFFERENCE DIFFERENTIAL-EQUATIONS WITH ONE DELAY
    BOESE, FG
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (02) : 397 - 407
  • [40] Delay-dependent and delay-independent stability conditions of delayed cellular neural networks
    Liao, Wudai
    Wang, Dongyun
    Xu, Yulin
    Liao, Xiaoxin
    NEURAL INFORMATION PROCESSING, PT 1, PROCEEDINGS, 2006, 4232 : 529 - 536
12345