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A note on stability of neutral delay-differential systems

โœ Scribed by Ju-H. Park; S. Won


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
77 KB
Volume
336
Category
Article
ISSN
0016-0032

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Stability analysis for neutral delay-dif
โœ Ju H. Park; S. Won ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

In this paper, the problem of the stability analysis for neutral delay-di!erential systems is investigated. Using Lyapunov method, we present new su$cient conditions for the stability of the systems in terms of linear matrix inequality (LMI) which can be easily solved by various convex optimization

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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.