A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems

<table>For system (<a href="https://static.hindawi.com/articles/jam/volume-2012/749847/figures/#EEq3.4">3.4</a>), when <svg height="11.9" id="M153" style="vertical-align:-0.30096pt" version="1.1" viewbox="0 0 88.599998 11.9" width="88.599998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.9)">
<g transform="translate(72,-62.48)">
<text transform="matrix(1,0,0,-1,-71.95,62.83)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
<tspan style="font-size: 12.50px; " x="9.8648672" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.905256" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.156755" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.282507" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="37.534004" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="47.261341" y="0">&lt;</tspan>
<tspan style="font-size: 12.50px; " x="59.301727" y="0">𝜏</tspan>
</text>
<text transform="matrix(1,0,0,-1,-6.24,67.83)">
<tspan style="font-size: 8.75px; " x="0" y="0">∗</tspan>
</text>
</g>
</g>
</svg>, the equilibrium is asymptotically stable.</table>

Journal of Applied Mathematics

fig1

Figure 1

Figure 1: A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems 