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Stability of infinite delay difference systems

โœ Scribed by Shunian Zhang


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
420 KB
Volume
22
Category
Article
ISSN
0362-546X

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It is well known that UCg is an admissible space and BC can be continuously embedded in UCg (see, for example, ). We use the same symbol I[" II to denote the norms in R" and BC, but no confusion will occur. An n ร— n real constant matrix C = (cu)nร— . with c o <\_ 0 (i ~ j; i,j --1, 2 ..... n) is sai

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For neutral delay difference systems of the general form, two kinds of stability criteria are established in this paper. One is by means of the discrete Liapunov functionals, while the other is with the discrete Liapunov functions. Both make use of Bazumikhin techniques.