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

Details 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 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

2012-04-08

arxiv.org/abs/1204.1728v1

Mathematics

Optimization and Control

Scientific paper

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.

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