BOUNDEDNESS AND DISSIPATION FOR DISCRETE-TIME DYNAMIC SYSTEMS

TitleBOUNDEDNESS AND DISSIPATION FOR DISCRETE-TIME DYNAMIC SYSTEMS
Publication TypeJournal Article
Year of Publication2011
AuthorsZHAO XINQUAN, LIU XINZHI, ZHANG ZHIGANG, LIAO XIAOXIN
JournalDynamic Systems and Applications
Volume20
Start Page55
Pagination18
Date Published2011
ISSN1056-2176
AMS Subject Classification39A10
Abstract

This paper studies boundedness and dissipation of solutions of a class of discretetime dynamic systems. By the method of Lyapunov functions, some necessary and sufficient criteria on boundedness, equi-boundedness, uniform boundedness, and uniform dissipation are established. In addition, some sufficient criteria on dissipation, equi-dissipation and uniform dissipation are also obtained. Some examples are given to illustrate our results.
PDFhttps://acadsol.eu/dsa/articles/20/05-DSA-30-14.pdf
Refereed DesignationRefereed