Some New Difference Inequalities and an Application to Discrete-Time Control Systems
Joint Authors
Zhou, Hong
Huang, Deqing
Xu, Jianxin
Wang, Wu-Sheng
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-17
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function may be involved in each layer.
Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly.
Further, the derived results are applied to the stability problem of a class of linear control systems with nonlinear perturbations.
American Psychological Association (APA)
Zhou, Hong& Huang, Deqing& Wang, Wu-Sheng& Xu, Jianxin. 2012. Some New Difference Inequalities and an Application to Discrete-Time Control Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993042
Modern Language Association (MLA)
Zhou, Hong…[et al.]. Some New Difference Inequalities and an Application to Discrete-Time Control Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993042
American Medical Association (AMA)
Zhou, Hong& Huang, Deqing& Wang, Wu-Sheng& Xu, Jianxin. Some New Difference Inequalities and an Application to Discrete-Time Control Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993042
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993042