Reflection Function and Periodic Solution of Time-varying Луръе Control System

  • Qiaoping Gao, Genlong Zhou, Hongwei Ji

Abstract

The study of periodic differential systems is of great significance in many fields. Poincaré mapping plays an important role in the study of periodic systems, but it is difficult to apply it in practice. The reflection function method created by Belarusian differential equation expert Mironenko provided a new way to establish Poincaré mapping of periodic system. It provides a new method for studying the behavior of solutions of differential systems. Since then, more and more experts and scholars have begun to use reflection functions to study the behavior of solutions of periodic systems. So far, some important achievements have been made in the application of reflection function theory to study the geometric behavior of solutions of differential systems. This paper applies Mironenko’s reflection function theory for the first time to discuss reflection function structure of the time-varying Луръе control system and the behavior of its periodic solution. As the method is novel, many new results will be obtained. It also has a certain reference significance for the study of some multivalued differential equation control systems.

Published
2020-10-31
How to Cite
Qiaoping Gao, Genlong Zhou, Hongwei Ji. (2020). Reflection Function and Periodic Solution of Time-varying Луръе Control System. Design Engineering, 613 - 622. https://doi.org/10.17762/de.vi.836
Section
Articles