Journal of Applied Mathematics

Some New Difference Inequalities and an Application to Discrete-Time Control Systems

Hong Zhou, Deqing Huang, Wu-Sheng Wang, and Jian-Xin Xu

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 214609, 14 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153551

Digital Object Identifier
doi:10.1155/2012/214609

Mathematical Reviews number (MathSciNet)
MR2984231

Zentralblatt MATH identifier
1263.93143

Citation

Zhou, Hong; Huang, Deqing; Wang, Wu-Sheng; Xu, Jian-Xin. Some New Difference Inequalities and an Application to Discrete-Time Control Systems. J. Appl. Math. 2012 (2012), Article ID 214609, 14 pages. doi:10.1155/2012/214609. https://projecteuclid.org/euclid.jam/1357153551


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