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Realisation problem of positive 1D systems

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Positive 1D and 2D Systems

Part of the book series: Communications and Control Engineering ((CCE))

Abstract

Consider a discrete+time (internally) positive system described by the equations

$$ x_{i + 1} = Ax_i + Bu_i $$
((4.1a))
$$ y_i = Cx_i + Du_i $$
((4.1b))

where \({x_i} \in R_ + ^n,{u_i} \in R_ + ^m,{y_i} \in R_ + ^p\) are the state, input and output vectors, respectively and \( A \in R_ + ^{nxn} ,B \in R_ + ^{nxm} ,C \in R_ + ^{pxn} ,D \in R_ + ^{pxm} . \)

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Authors and Affiliations

  1. Institute of Control and Industrial Electronics, Faculty of Electrical Engineering, Warsaw University of Technology, 00-662, Warsaw, ul. Koszykowa 75m. 19, Poland

    Tadeusz Kaczorek DSc (Professor)

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  1. Tadeusz Kaczorek DSc
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© 2002 Springer-Verlag London

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Kaczorek, T. (2002). Realisation problem of positive 1D systems. In: Positive 1D and 2D Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0221-2_4

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  • DOI: https://doi.org/10.1007/978-1-4471-0221-2_4

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1097-2

  • Online ISBN: 978-1-4471-0221-2

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