Asymptotic stability of monostable wavefronts in discrete-time integral recursions

被引：0
|
作者：
Guo Lin
WanTong Li
ShiGui Ruan
机构：
[1] Lanzhou University,School of Mathematics and Statistics
[2] University of Miami,Department of Mathematics
来源：
Science China Mathematics | 2010年 / 53卷
关键词：
discrete-time integral recursion; comparison principle; upper and lower solutions; monostable wave; stability; 35B40; 45M05; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in ℝ2. We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior. Then, by employing the comparison principle and upper and lower solutions technique, we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation. We also obtain some similar results in ℝ.
引用
收藏
页码：1185 / 1194
页数：9
相关论文
共 50 条
  • [31] Asymptotic stability of discrete-time switched TS fuzzy systems with multiple delays
    Jaballi, Ahmed
    Kermani, Marwen
    Sakly, Anis
    El Hajjaji, Ahmed
    2016 17TH INTERNATIONAL CONFERENCE ON SCIENCES AND TECHNIQUES OF AUTOMATIC CONTROL AND COMPUTER ENGINEERING (STA'2016), 2016, : 729 - 734
  • [32] Sufficient Conditions for Local Asymptotic Stability and Stabilization for Discrete-Time Varying Systems
    Stamati, A.
    Tsinias, J.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (03) : 643 - 649
  • [33] Regional asymptotic stability analysis for discrete-time delayed systems with saturation nonlinearity
    Lee, S. M.
    Kwon, O. M.
    Park, Ju H.
    NONLINEAR DYNAMICS, 2012, 67 (01) : 885 - 892
  • [34] Asymptotic stability results for large scale nonlinear discrete-time delay systems
    Sathananathan, S
    Adetona, O
    Keel, LH
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 2 : 596 - 601
  • [35] Asymptotic stability and stabilizability of special classes of discrete-time positive switched systems
    Fornasini, Ettore
    Valcher, Maria Elena
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (04) : 1814 - 1831
  • [36] A SWITCHING RULE FOR THE ASYMPTOTIC STABILITY OF DISCRETE-TIME SYSTEMS WITH CONVEX POLYTOPIC UNCERTAINTIES
    Ratchagit, Kreangkri
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (02)
  • [37] Asymptotic stability problem for discrete-time delay systems with saturated state feedback
    Chen, Dong-Yan
    Si, Yu-Qin
    Zidonghua Xuebao/ Acta Automatica Sinica, 2008, 34 (11): : 1445 - 1448
  • [38] Total stability of equilibria motivates integral action in discrete-time nonlinear systems
    Zoboli, Samuele
    Astolfi, Daniele
    Andrieu, Vincent
    AUTOMATICA, 2023, 155
  • [39] Absolute stability and integral control for infinite-dimensional discrete-time systems
    Coughlan, J. J.
    Logemann, H.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4769 - 4789
  • [40] Asymptotic stability of discrete-time systems with time-varying delay subject to saturation nonlinearities
    Chen, Shyh-Feng
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1251 - 1257
12345