Full paper in PDF:
$%M. Megan, A. L. Sasu, and B. Sasu, Stabilizability and controllability of systems associated to linear skew-product semiflows, Rev. Mat. Complut. 15 (2002), no. 2, 599618.%$

Stabilizability and Controllability of Systems Associated to Linear Skew-Product Semiflows
Mihail MEGAN, Adina Luminiţa SASU,
and Bogdan SASU
Department of Mathematics
University of the West
Bul V. Parvan 4
1900 Timişoara — Romania

Received: March 26, 2001
Revised: November 13, 2001

ABSTRACT

This paper is concerned with systems with control whose state evolution is described by linear skew-product semiflows. The connection between uniform exponential stability of a linear skew-product semiflow and the stabilizability of the associated system is presented. The relationship between the concepts of exact controllability and complete stabilizability of general control systems is studied. Some results due to Clark, Latushkin, Montgomery-Smith, Randolph, Megan, Zabczyk, and Przyluski are generalized.

2000 Mathematics Subject Classification: 34D05, 93B05.