General theorems for stability and boundedness for nonlinear functional discrete systems

被引：15

作者：

Raffoul, YN ^{[1
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 279卷 / 02期

关键词：

Lyapunov functionals; nonlinear discrete systems; uniform stability; uniform boundedness;

D O I：

10.1016/S0022-247X(03)00051-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear functional discrete system x(n + 1) = G(n, x(s); 0 less than or equal to s less than or equal to n) =(def) G(n, x((.))) and obtain sufficient conditions for stability properties of the zero solution and for the boundedness of solutions. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：639 / 650

页数：12

共 50 条

[1] Boundedness and stability in nonlinear discrete systems with nonlinear perturbation
Raffoul, YN
Dib, YM
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (09) : 853 - 862
[2] General theorems for uniform asymptotic stability and boundedness in finitely delayed difference systems
Raffoul, Youssef N.
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2024,
[3] New criteria of stability and boundedness for discrete systems
Fu, YL
Liao, XX
Luo, Q
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (5-6) : 779 - 785
[4] BOUNDEDNESS IN THE NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS
Choi, Sang Il
Goo, Yoon Hoe
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 30 (04): : 415 - 427
[5] ABSOLUTE STABILITY OF GENERAL LURIE DISCRETE NONLINEAR CONTROL SYSTEMS
GAN Zuoxin
[J]. Journal of Systems Science & Complexity, 2002, (01) : 85 - 88
[6] ABSOLUTE STABILITY OF GENERAL LURIE DISCRETE NONLINEAR CONTROL SYSTEMS
GAN Zuoxin HAN Jingqing Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing China ZHAO SuxiaWU Yongxian Department of Mathematics Liaoning Normal University Dalian China
[J]. JournalofSystemsScienceandComplexity., 2002, (01) - 88
[7] A general boundedness result for interconnected nonlinear systems
Kabuli, MG
Gundes, AN
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (08) : 1107 - 1110
[8] W-stability theorems of nonlinear impulsive functional differential systems
Fu, Xilin
Li, Xiaodi
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 221 (01) : 33 - 46
[9] BOUNDEDNESS AND STABILITY IN NONLINEAR TIME VARYING SYSTEMS
SMOAK, RA
[J]. MECHANICAL ENGINEERING, 1970, 92 (06) : 73 - &
[10] BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS
Goo, Yoon Hoe
[J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2015, 22 (02): : 101 - 112

← 1 2 3 4 5 →