×

New criteria on the stability of interval discrete dynamic systems. (Chinese. English summary) Zbl 1002.93045

The author uses the method of interval analysis of interval continuous dynamic systems to study the asymptotic stability of interval discrete dynamic systems. The criterion of Routh-Hurwitz and the theorem of Jury and Kharitonov are extended to interval discrete dynamic systems, some sufficient conditions are obtained and all these results can be verified by using a computer program. Finally, two examples are provided.

MSC:

93D09 Robust stability
93C55 Discrete-time control/observation systems
65G30 Interval and finite arithmetic
PDFBibTeX XMLCite