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A Note on Poles and Zeros of Positive Continuous-Time Linear Systems

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Advances in Electrical Engineering and Electrical Machines

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 134))

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Abstract

The notions of zeros and poles of continuous-time positive linear systems are introduced. These notions are based on state-space dynamical characterization of poles and zeros for standard systems and on additional assumptions following from positivity. It is shown that poles and zeros of the positive systems are real numbers. The results are illustrated by simple examples.

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Correspondence to Jerzy Tokarzewski .

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Tokarzewski, J. (2011). A Note on Poles and Zeros of Positive Continuous-Time Linear Systems. In: Zheng, D. (eds) Advances in Electrical Engineering and Electrical Machines. Lecture Notes in Electrical Engineering, vol 134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25905-0_1

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  • DOI: https://doi.org/10.1007/978-3-642-25905-0_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25904-3

  • Online ISBN: 978-3-642-25905-0

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