Topology of the Orbit Space of Generalized Linear Systems.
Topology of the Orbit Space of Generalized Linear Systems.
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1989
Authors
Helmke, Uwe
Shayman, Mark A.
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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.