Abstract
In this paper we consider the controllability problem for discrete-time linear switched systems. The problem consists of finding a control signal that steers any initial condition to a given final state regardless of the switching signal. In the paper a necessary and sufficient conditions for this type of controllability are presented. Moreover, we consider problems of controllability from zero initial condition and to zero final state.
The research presented here were done by the authors as parts of the projects funded by the National Science Centre granted according to decisions DEC-2014/13/B/ST7/00755, DEC-2012/05/B/ST7/00065, DEC-2012/07/B/ST7/01404 and DEC-2012/07/N/ST7/03236, respectively. The calculations were performed with the use of IT infrastructure of GeCONiI Upper Silesian Centre for Computational Science and Engineering (NCBiR grant no POIG.02.03.01-24-099/13).
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Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (2015). Controllability of Discrete-Time Linear Switched Systems with Constrains on Switching Signal. In: Nguyen, N., Trawiński, B., Kosala, R. (eds) Intelligent Information and Database Systems. ACIIDS 2015. Lecture Notes in Computer Science(), vol 9011. Springer, Cham. https://doi.org/10.1007/978-3-319-15702-3_30
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DOI: https://doi.org/10.1007/978-3-319-15702-3_30
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