Abstract
The input-output map is the intrinsic object of a dynamical system. The immersion problem consists of sending a dynamical system to another one via a transformation which preserves the input-output maps.
Many authors have studied the immersion of nonlinear systems into a finite dimensional state affine systems (up to output injection).
This result can be applied to the synthesis of observers of nonlinear systems.
In this paper we prove that under some assumptions, any autonomous single output system can be immersed into an infinite dimensional linear system on some Banach space.
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References
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© 1990 Springer-Verlag
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Hammouri, H., Othman, S. (1990). Immersion in infinite dimension. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120062
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DOI: https://doi.org/10.1007/BFb0120062
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