Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 49, Issue 16, Pages 3272-3283Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2018.1536233
Keywords
Stability; Lyapunov functions; Razumikhin technique; impulsive discrete-time systems; infinite delays
Categories
Funding
- Fundamental Research Funds for the Central Universities
- National Natural Science Foundation of China [61773161]
- Science and Technology Commission of Shanghai Municipality [18ZR1409800]
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This paper investigates the exponential stability of impulsive discrete-time systems with infinite delays. Some sufficient conditions are obtained to guarantee the exponential stability of the considered systems by employing Lyapunov functions together with Razumikhin technique. Finally, three numerical examples are given to illustrate the effectiveness and superiority of the obtained results. It is the first time that the exponential stability of impulsive discrete-time systems with infinite delays is studied, the obtained results complement some recent works.
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