The structure of the attractor of shapes of reachable sets

Autor: A. I. Ovseevich
Rok vydání: 2010
Předmět:
Zdroj: Functional Analysis and Its Applications. 44:139-145
ISSN: 1573-8485
0016-2663
Popis: We study the asymptotic behavior of reachable sets of a linear time-invariant impulsive control system. Our main result is a complete description of the set of limit shapes of reachable sets (the attractor) in the case of a scalar control. The attractor is a torus defined via the pure imaginary eigenvalues of the system matrix.
Databáze: OpenAIRE