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Relaxed conditions for uniform complete observability and controllability of LTV systems with bounded realizations

Authors: P. Batista, N. Petit, C. Silvestre, P. J. Oliveira, Proc. of the IFAC 2017 World Congress, pp. 3661-3668, July 9-14, 2017, Toulouse
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Uniform complete observability and controllability are key concepts for the design of state observers and controllers for linear time-varying systems. While the definitions of these properties are simple, it is more often that not very difficult to show they hold for a particular system. This paper presents alternative simpler sufficient conditions. Examples are shown that illustrate the improvement over previous results, the fact that the new conditions are not necessary, and a practical application.
BibTeX:
@Proceedings{2017-11-16,
author = {P. Batista, N. Petit, C. Silvestre, P. J. Oliveira},
editor = {},
title = {Relaxed conditions for uniform complete observability and controllability of LTV systems with bounded realizations},
booktitle = {IFAC 2017 World Congress},
volume = {},
publisher = {},
address = {Toulouse},
pages = {3661-3668},
year = {2017},
abstract = {Uniform complete observability and controllability are key concepts for the design of state observers and controllers for linear time-varying systems. While the definitions of these properties are simple, it is more often that not very difficult to show they hold for a particular system. This paper presents alternative simpler sufficient conditions. Examples are shown that illustrate the improvement over previous results, the fact that the new conditions are not necessary, and a practical application.},
keywords = {uniform complete observability, uniform complete controllability, linear time-varying systems}}