Ayala, Victor (Univ. Católica del Norte), Colonius, Fritz (Univ. of Augsburg), Kliemann, Wolfgang (Iowa State Univ.)

Towards a Topological Classification of Bilinear Control Systems

Scheduled for presentation during the Regular Session "Nonlinear Control I" (TuP05), Tuesday, July 25, 2006, 16:35−17:00, Room F

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

Abstract

In the last twenty years, the problem of classifying control systems allowing state and feedback transformations has been extensively studied. This paper approaches the classification of bilinear control systems from a topological point of view, as is common in the theory of dynamical systems. As afirst step towards a topological classification, we study conjugacy and equivalence for the flows associated with bilinear control systems. This allows us to characterize the controllability and (exponential) stability behavior of bilinear systems, using Morse decompositions on the projective bundle and the associated Morse spectrum.