JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 36-41.doi: 10.6040/j.issn.1671-9352.0.2016.492

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On polynomial stability of linear discrete-time systems in Banach spaces

HUANG Lei-lei, SONG Xiao-qiu*, LU Wei   

  1. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2016-11-03 Online:2017-10-20 Published:2017-10-12

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Abstract: Four concepts of polynomial stability for difference equations are studied in Banach space. Characterizations of these concepts are given and the illustrative examples clarifies the relations between these concepts. Based on the extension of techniques for exponential stability to the case of polynomial stability, discrete characterizations of polynomial stability are discussed. The obtained results are generalizations of well-known theorems about the exponential stability.

Key words: nonuniform polynomial stability, strong polynomial stability, uniform polynomial stability, linear discrete-time systems, polynomial stability

CLC Number: 

  • O177.2
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