A Stability Condition with Delay-Dependence for a Class of Switched Large-Scale Time-Delay Systems

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="360170.fig.001a" src="https://static.hindawi.com/articles/jam/volume-2013/360170/figures/360170.fig.001a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>State response for <svg height="11.825" id="M139" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 15.9625 11.825" width="15.9625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,9.563,11.762)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="360170.fig.001b" src="https://static.hindawi.com/articles/jam/volume-2013/360170/figures/360170.fig.001b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>State response for <svg height="11.825" id="M140" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 15.9625 11.825" width="15.9625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="360170.fig.001c" src="https://static.hindawi.com/articles/jam/volume-2013/360170/figures/360170.fig.001c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>State response for <svg height="11.9625" id="M141" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 15.9625 11.9625" width="15.9625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr></table></td></tr></table>

<table>Trajectory of the time-delay switched system.</table>

Journal of Applied Mathematics

fig1

Figure 1

Figure 1: A Stability Condition with Delay-Dependence for a Class of Switched Large-Scale Time-Delay Systems 