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Title: On control of continuous dynamical polysystems in discrete times

This paper considers control systems with a finite number of control parameters, i.e. dynamical polysystems. It is assumed that control switchings can occur only at certain discrete times. Statistical methods in number theory are used to investigate the controllability of these systems. Existence of control switching times is established through analysis of Diophantine equations. The values of control switching times are found through suitable numerical methods. Certain assertions on the controllability of the polysystems of the class under consideration are proved. Some examples are considered.
Authors:
 [1]
  1. St. Petersburg State University and St. Petersburg State Polytechnic University (Russian Federation)
Publication Date:
OSTI Identifier:
22391086
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CALCULATION METHODS; CONTROL SYSTEMS; EQUATIONS; MATHEMATICAL SOLUTIONS; STATISTICS