On a connection of the approximation of nonlinear systems in the sense of time optimality and their algebraic approximation

S. Yu. Ignatovich

V. N. Karazin Kharkiv National University, Faculty of Mathematics and Mechanics

Abstract: The question of a connection of the asymptotic behavior of a solution of the time-optimal control problem and properties of the algebra of nonlinear power moments is considered. Namely, it is shown that if a certain moment min-problem approximates the time-optimal control problem then under certain additional assumptions the structures generated in the algebra by this moment problem and by the nonlinear system coincide.

MSC: 93B10, 93B25

Received: 16.06.2004

Bibliographic databases:

• 
•