Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors

被引：4
作者：
De la Sen, M. [1 ]
机构：
[1] Univ Basque Country, Dept Elect & Elect, Fac Sci & Technol, Bilbao, Spain
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2007年 / 2007卷
关键词：
D O I：
10.1155/2007/25692
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper investigates the presence of oscillating solutions in time-varying difference equations even in the case when there exist parametrical errors (i.e., errors in the sequences defining their coefficients) and/or unmodeled dynamics, namely, the current order is unknown and greater than the nominal known order. The formulation is related to the concepts of conjugacy, disconjugacy, positivity, and generalized zeros and general conditions of oscillation are obtained both over particular intervals and for the whole solution. Some results concerned with the presence of stable oscillations are also presented.
引用
收藏
页数：18
相关论文
共 14 条
[1]   Multiple positive solutions of singular problems by variational methods [J].
Agarwal, RP ;
Perera, K ;
O'Regan, D .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (03) :817-824
[2]  
Agarwal RP, 2005, HOUSTON J MATH, V31, P1207
[3]  
Agarwal RP, 2004, MATH COMPUT MODEL, V39, P1185, DOI 10.1016/j.mcm2002.11.003
[4]  
Agarwal RP, 2004, COMPUT MATH APPL, V47, P751, DOI 10.1016/S0898-1221(04)00063-X
[5]  
AGARWAL RP, 2005, CONT MATH ITS APPL, V1
[6]   Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays [J].
De la Sen, M .
ACTA APPLICANDAE MATHEMATICAE, 2004, 83 (03) :235-256
[7]  
De la Sen M, 2005, INFORMATICA-LITHUAN, V16, P395
[8]   Absolute stability of feedback systems independent of internal point delays [J].
de la Sen, M .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2005, 152 (05) :567-574
[9]   Preserving positive realness through discretization [J].
De La Sen, M .
POSITIVITY, 2002, 6 (01) :31-45
[10]  
Kaczorek T, 2004, LECT NOTES ARTIF INT, V3070, P56
12