New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators

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class="align_center">Comment</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">1.56236</td><td class="align_center">0.55866</td><td class="align_center">0.5</td><td class="align_center">0.36025</td><td class="align_center" rowspan="2">Stable</td></tr><tr><td class="align_left">2</td><td class="align_center">−1.56236</td><td class="align_center">0.55866</td><td class="align_center">0.5</td><td class="align_center">0.36025</td></tr><tr><td class="align_center" colspan="6"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">1.56236</td><td class="align_center">0.55866</td><td class="align_center">0.8</td><td class="align_center">1.87193</td><td class="align_center" rowspan="2">Unstable</td></tr><tr><td class="align_left">2</td><td class="align_center">−1.56236</td><td class="align_center">0.55866</td><td class="align_center">0.8</td><td class="align_center">1.87193</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Stability properties of discretized fractional-order system; Example <a href="https://static-preview.hindawi.com/articles/complexity/volume-2018/2036809/figures/#ex2" target="_blank">2</a>.</div>

Complexity

tab2

Table 2

Table 2: New Stability Tests for Discretized Fractional-Order Systems Using the Al-Alaoui and Tustin Operators 