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7
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vol 63 / July, 2020
Article

DOI 10.17586/0021-3454-2019-62-10-886-892

UDC 681.51

ANALYSIS OF DYNAMIC SYSTEM PROPERTIES

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


V. V. Grigoriev
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor


O. K. Mansurova
University of Mines, Department of Technological Process Automation and Production; Associate Professor


V. A. Petrov
ITMO University, Department of Computer Science and Control Systems; Post-Graduate Student


I. M. Pershin
North Caucasus Federal University, Pyatigorsk Institute; Department of Control in Technical and Biomedical Systems; Professor, Head of the Department


Abstract. The possibility of using recognized parametric relations between qualitative characteristics of dy-namic processes in analyzed system and its fundamental features (types of stability and instability) for development of effective techniques of the system function analysis in various conditions and for design of control devices – regulators providing the required performance quality is considered. For continuous and discrete dynamic systems, a unified approach to the analysis of their functioning properties is devel-oped. The analysis includes a procedure for constructing ellipsoidal estimates of the areas of dynamic processes behavior parameters and estimating permissible parameter changes under the conditions of qualitative exponential stability.
Keywords: qualitative stability, Lyapunov function, sufficient conditions, performance estimates

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