STUDY OF POSITIVE SYSTEMS PROCESSES ON THE BASE OF QUALITATIVE EXPONENTIAL STABILITY
ITMO University, Saint Petersburg, 197101, Russian Federation; 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;
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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