HELMKE, U and BYRNES, CI (1992) THE COHOMOLOGY OF THE MODULI SPACE OF CONTROLLABLE LINEAR-SYSTEMS. ACTA APPLICANDAE MATHEMATICAE, 28 (2). pp. 161-188. ISSN 0167-8019,
Full text not available from this repository.Abstract
In this paper we explicitly describe, by generators and relations, the cohomology ring of the manifold SIGMA(n,m)(F) of controllable linear systems having m inputs and state-space dimension n. It is shown that the cohomology ring of SIGMA(n,m)(F) is isomorphic to the invariant cohomology ring of a product of projective spaces. Estimates for the cup length of the cohomology ring are obtained.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DYNAMICAL-SYSTEMS; TOPOLOGY; LINEAR SYSTEMS; CONTROLLABILITY; MODULI SPACES; SCHUBERT CALCULUS |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/54429 |
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