Abstract
Euler’s discretization transforms a nonlinear continuous-time system into a discrete-time one. It is shown that if two continuous-time systems are dynamically feedback equivalent then their Euler’s discretizations are dynamically feedback equivalent. Dynamical equivalence is characterized by isomorphism of differential or difference algebras associated to the systems. These algebras form two categories. Euler’s discretization defines a covariant functor from the category of differential algebras to the category of difference algebras.
Supported by KBN under the Technical University of Bialystok grant W/IMF/3/99
Supported by KBN under the Technical University of Bialystok grant W/IMF/1/00
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© 2001 Springer-Verlag London Limited
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Pawłuszewicz, E., Bartosiewicz, Z. (2001). Euler’s discretization and dynamic equivalence of nonlinear control systems. In: Isidori, A., Lamnabhi-Lagarrigue, F., Respondek, W. (eds) Nonlinear control in the year 2000 volume 2. Lecture Notes in Control and Information Sciences, vol 259. Springer, London. https://doi.org/10.1007/BFb0110301
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DOI: https://doi.org/10.1007/BFb0110301
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