Application of the commutator calculus to the problem of stabilization of pseudo-linear periodic affine systems

Authors

  • V.I. Slynko Institute of Mechanics named after S. P. Timoshenka, NAS of Ukraine
  • S.V. Kravchuk Cherkasy National University named after B. Khmelnitsky

Abstract

New conditions for the stabilization of affine periodic systems are established. Applying the commutation calculus and the direct Lyapunov method, we obtain control conditions that ensure the stability of affine periodic system, and we also synthesize the control for stabilizing the lower position of equilibrium of a pendulum of variable length.

Downloads

Published

2020-08-10

How to Cite

Slynko, V., & Kravchuk, S. (2020). Application of the commutator calculus to the problem of stabilization of pseudo-linear periodic affine systems. Transactions of Institute of Mathematics, the NAS of Ukraine, 15(1), 162–179. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/439

Issue

Vol. 15 No. 1 (2018): Mathematical problems of mechanics and computational mathematics

Section

Research papers

License

Copyright (c) 2018 V.I. Slynko, S.V. Kravchuk

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.