Paper Info
Title
Research on the stability of non-equigap grey control model under multiple transformations.
Abstract
Purpose - The purpose of this paper is to deal with the ill-conditioned problem for the non-equigap GM(1,1) control model by using the method Of Multiple transformations Design/methodology/approach - Owing to noises and interferences from both inside and outside of the system. many control systems contain unequal intervals and sharp variation which may result in undesirable systems instability. In order to ensure the stability and efficiency of grey forecasting control model, the data transformation for a raw series is an important and useful method for enhancing accuracy and improving ill-condition of the non-equigap GM(1,1) model Findings - This paper discusses the quantitative relations between the multiple transformation and the parameters of the non-equigap GM(1,1) model in detail, and studies the effect of the multiple transformation on the condition number of the non-equigap GM(1,1) model. Research limitations/implications - Accessibility and availability of data are the main limitations based on which model will be applied Practical implications - Choosing an appropriate multiple of transformation cannot only eliminate dimension, lessen computation and maintain high accuracy, but also largely reduce the condition number of the model and improve the ill-condition of non-equigap GM(1,1) model effectively Originality/value - This paper seems to be the first to discuss the stability problems for the non-equigap GM(1,1) model.
Year
DOI
Venue
2009
10.1108/03684920910994060
KYBERNETES
Keywords
Field
DocType
Cybernetics,Systems and control theory,Stability (control theory)
Mathematical optimization,Condition number,Computer science,Control system,Cybernetics,Gray (horse)
Journal
Volume
Issue
ISSN
38
10
0368-492X
Citations 
PageRank 
References 
3
0.52
2
Authors
2
Name
Order
Citations
PageRank
Xinping Xiao1254.38
Fuqin Li2477.80