Abstract
The problem of existence of system matrices with given spectra is addressed for positive stable discrete-time linear systems. Necessary and sufficient conditions for the existence of the system matrices are established. The considerations are illustrated by numerical examples of discrete-time linear systems.
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Acknowledgment
This work was supported by National Science Centre in Poland under work No. 2014/13/B/ST7/03467.
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Kaczorek, T., Borawski, K. (2016). Existence of System Matrices with Given Spectra of Positive Stable Discrete-Time Linear Systems. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Challenges in Automation, Robotics and Measurement Techniques. ICA 2016. Advances in Intelligent Systems and Computing, vol 440. Springer, Cham. https://doi.org/10.1007/978-3-319-29357-8_14
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