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

l. M. Proudnikov

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

Authors

l. M. Proudnikov St. Petersburg University, Russia.

Keywords:

Dynamical Systems of n-th order, Asymptotic stable systems, Stabilizing control, Domains of asymptotic stability

Abstract

The 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 the focus or the center. The problem of constuction of a stabilizing control in a form of polynomial is studied.

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Published

2007-12-01

How to Cite

[1]

l. M. Proudnikov, “Construction of a stabilizing control and solution to a problem about the center and the focus for differential systems with a polynomial part on the right side”, CUBO, vol. 9, no. 3, pp. 13–28, Dec. 2007.