Please use this identifier to cite or link to this item: https://doi.org/2012/214609
Title: Some new difference inequalities and an application to discrete-time control systems
Authors: Zhou, H.
Huang, D.
Wang, W.-S.
Xu, J.-X. 
Issue Date: 2012
Source: Zhou, H., Huang, D., Wang, W.-S., Xu, J.-X. (2012). Some new difference inequalities and an application to discrete-time control systems. Journal of Applied Mathematics 2012 : -. ScholarBank@NUS Repository. https://doi.org/2012/214609
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. © 2012 Hong Zhou et al.
Source Title: Journal of Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/57447
ISSN: 1110757X
DOI: 2012/214609
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