Diffeomorphisms between Sets of Linear Systems
Diffeomorphisms are given between different subsets of linear systems of fixed McMillan degree. The sets considered are the set of all systems of fixed McMillan degree, the subset of stable systems, the subset of bounded real systems, the subset of positive real systems, the subset of stable systems with Hankel singular values bounded by one. State space techniques are used in the proofs.
KeywordsLinear System Canonical Form Stable System Riccati Equation Antistable System
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