Journal
APPLIED MATHEMATICS LETTERS
Volume 25, Issue 12, Pages 2290-2297Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2012.06.019
Keywords
Exponential stability; Discrete system; Delay; Impulse; Lyapunov functional
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Funding
- National Natural Science Foundation of China [10926114, 60904027]
- Shanghai Municipal Education Commission
- Shanghai Education Development Foundation [10CG18]
- Fundamental Research Funds for the Central Universities
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The purpose of this paper is to investigate the global exponential stability of impulsive discrete systems with time delays. By using Lyapunov functionals, a number of new global exponential stability criteria are provided. It is shown that a discrete system with time delays can be globally exponentially stabilized by impulses even if it may be unstable itself. Some examples are also presented to illustrate the effectiveness and the superiority of the obtained results. (c) 2012 Elsevier Ltd. All rights reserved.
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