ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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6
Issue
vol 60 / JUNE, 2017
Article
UDC 62-51

STUDY OF POSITIVE SYSTEMS PROCESSES ON THE BASE OF QUALITATIVE EXPONENTIAL STABILITY

V. V. Grigoriev
ITMO University; Professor


V. . Boikov
ITMO University; docent


S. V. Bystrov
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor


A. I. Ryabov
St. Petersburg National Research University of Information Technologies, Mechanics and Optics, Department of Control Systems and Informatics; Post-Graduate Student


O. K. Mansurova
North-West State Technical University;


Abstract.   A concept of qualitative exponential stability is introduced for a class of dynamic positive discrete systems. The concept provides a base for presented analysis of quality of convergent and non-convergent processes.
Keywords: dynamic systems, stability, quality estimation, Lyapunov, modular functions, positive systems