Diffeomorphisms between classes of linear systems.
Chou C. T. and Hanzon B.
Systems and Control LettersPresented at the 1993 ECC., Volume 26, Pages 289-300, 1995Abstract
In this paper, we show that the following classes of linear dynamical systems are diffeomorphic to each other: fixed order, asymptotically stable, strictly bounded real, strictly positive real, stable and minimum phase, and invertible. These results are then used to prove the diffeomorphisms between the state bundles associated with these classes of systems, and between their associated principal fibre bundles. We shall conclude this paper by discussing how these results can be used to deduce geometric properties of other classes of linear systems, and to construct overlapping parametrizations.
BibTex Entry
- @Article{,
- author = {Chou C. T. and Hanzon B.},
- journal = {Systems and Control Letters},
- title = {Diffeomorphisms between classes of linear systems. },
- year = {1995},
- pages = {289-300},
- volume = {26}
- }
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