TOPOLOGY OF THE ORBIT SPACE OF GENERALIZED LINEAR-SYSTEMS

HELMKE, U and SHAYMAN, MA (1991) TOPOLOGY OF THE ORBIT SPACE OF GENERALIZED LINEAR-SYSTEMS. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 4 (4). pp. 411-437. ISSN 0932-4194,

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Abstract

We investigate the topology of the orbit space of controllable generalized linear (descriptor) systems modulo restricted system equivalence. We compute the singular homology groups in the complex case, and prove that in both the real and complex cases, this space is a smooth compactification of the orbit space of controllable state space systems modulo system similarity.

Item Type: Article
Uncontrolled Keywords: CONTROLLABLE SINGULAR SYSTEMS; DYNAMICAL-SYSTEMS; DESCRIPTOR SYSTEMS; CANONICAL FORM; MODULI SPACE; OBSERVABILITY; EQUIVALENCE; INVARIANTS; MANIFOLD; DESCRIPTOR SYSTEM; CONTROLLABILITY; RESTRICTED SYSTEM EQUIVALENCE; ORBIT SPACE; HOMOLOGY
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:46
URI: https://pred.uni-regensburg.de/id/eprint/55148

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