Abstract
We propose a model reduction method for positive systems that ensures the positivity of the reduced model. Our approach is based on constructing diagonal solutions of Lyapunov inequalities. These are linear matrix inequalities (LMIs), which are shown to be feasible. Stability is preserved and an error bound in the 
-norm is provided.
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Reis, T., Virnik, E. (2009). Positivity Preserving Model Reduction. In: Bru, R., Romero-Vivó, S. (eds) Positive Systems. Lecture Notes in Control and Information Sciences, vol 389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02894-6_13
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DOI: https://doi.org/10.1007/978-3-642-02894-6_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02893-9
Online ISBN: 978-3-642-02894-6
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