Stability criteria for linear periodic impulsive Hamiltonian systems

被引:43
作者
Guseinov, G. Sh.
Zafer, A. [1 ]
机构
[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
关键词
stability; Hamiltonian; linear; impulse; periodic system;
D O I
10.1016/j.jmaa.2007.01.095
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we obtain stability criteria for linear periodic impulsive Hamiltonian systems. A Lyapunov type inequality is established. Our results improve also the ones previously obtained for systems without impulse effect. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1195 / 1206
页数:12
相关论文
共 8 条
[1]  
Bainov D, 1993, IMPULSIVE DIFFERENTI
[2]  
Coddington N., 1955, THEORY ORDINARY DIFF
[3]   Lyapunov inequalities for discrete linear Hamiltonian systems [J].
Guseinov, GS ;
Kaymakçalan, B .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (6-9) :1399-1416
[4]  
GUSEINOV GS, IN PRESS MATH NACHR
[5]  
Krein M. G., 1955, IZV AKAD NAUK SSR, P413
[6]  
Krein M.G., 1983, AM MATH SOC TRANSL 2, V120, P1
[7]  
Miller RK, 1982, ORDINARY DIFFERENTIA
[8]  
Samoilenko A. M., 1995, World Scientific Series on Nonlinear Science, P14, DOI [DOI 10.1142/2892, 10.1142/2892]