A Survey on Positive Real and Strictly Positive Real Scalar Transfer Functions

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publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">A Survey on Positive Real and Strictly Positive Real Scalar Transfer Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mojtaba%20Hakimi-Moghaddam">Mojtaba Hakimi-Moghaddam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Positive real and strictly positive real transfer functions are important concepts in the control theory. In this paper, the results of researches in these areas are summarized. Definitions together with their graphical interpretations are mentioned. The equivalent conditions in the frequency domain and state space representations are reviewed. Their equivalent electrical networks are explained. Also, a comprehensive discussion about a difference between behavior of real part of positive real and strictly positive real transfer functions in high frequencies is presented. Furthermore, several illustrative examples are given. <iframe src="https://publications.waset.org/abstracts/44531.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=real%20rational%20transfer%20functions" title="real rational transfer functions">real rational transfer functions</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20realness%20property" title=" positive realness property"> positive realness property</a>, <a href="https://publications.waset.org/abstracts/search?q=strictly%20positive%20realness%20property" title=" strictly positive realness property"> strictly positive realness property</a>, <a href="https://publications.waset.org/abstracts/search?q=equivalent%20conditions" title=" equivalent conditions"> equivalent conditions</a> </p> <a 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A Survey on Positive Real and Strictly Positive Real Scalar Transfer Functions