English

Construction of a stabilizing control and solution to a problem about the center and focus for differential systems with a polynomial part on the right side

Optimization and Control 2013-07-23 v1 Dynamical Systems

Abstract

Stationary differential systems with polynomial right sides are considered. Necessary and sufficient conditions are formulated when a given domain is a domain of asymptotic stability and the origin of coordinates is either focus or center. The problem of construction of a stabilizing control in the form of polynomial is studied.

Keywords

Cite

@article{arxiv.1204.1728,
  title  = {Construction of a stabilizing control and solution to a problem about the center and focus for differential systems with a polynomial part on the right side},
  author = {Igor Prounikov},
  journal= {arXiv preprint arXiv:1204.1728},
  year   = {2013}
}