Mathematical modelling and control of the evolution of dynamic systems interacting with medium

Authors

  • V. L. Zakovorotny Don State Technical University, Rostov-Don
  • Nguyen Dong Anh Institute of Mechanics
  • Pham Dinh Tung Don State Technical University, Rostov-Don

DOI:

https://doi.org/10.15625/0866-7136/33/3/208

Keywords:

evolutional system, interact, medium

Abstract

The article proposes a new method of mathematical modeling evolutional systems interacting with medium. A cutting process or tribo-space formed in the contact area of two conjugate mechanical subsystems is considered as medium. The features of the medium depend not only on state coordinates of systems but also on trajectories. It is obtained that the parameters of the medium are performed as integral operators of equations like Volterra equations of 2nd type. The problems of control of evolutional systems are being analyzed.

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Published

08-09-2011

How to Cite

Zakovorotny, V. L., Dong Anh, N., & Tung, P. D. (2011). Mathematical modelling and control of the evolution of dynamic systems interacting with medium. Vietnam Journal of Mechanics, 33(3), 148–161. https://doi.org/10.15625/0866-7136/33/3/208

Issue

Section

Research Paper