Consensus of the Multiagent System with a Dynamic Leader Based on Directed Topology Using Laplace Transform

<div class="floats-full-page floats-full-page-figure"><h2>Figure 6</h2><div class="floats-full-page-caption"><table>Trajectories of the agents about system (<a href="../../616024/#EEq1">1</a>), in which <svg height="11.125" id="M161" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 8.2875004 11.125" width="8.2875004" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.862)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105&#10;q0 -76 10 -138.5t37 -107.5t69 -45q32 0 55.5 25t35.5 68.5t17.5 91.5t5.5 105t-5.5 105.5t-18 92t-36 68t-56.5 24.5z" id="x30"></path></g>
</svg> is globally reachable in <svg height="16.3125" id="M162" style="vertical-align:-0.1881pt" version="1.1" viewbox="0 0 13.2625 16.3125" width="13.2625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(1.25,0,0,-1.25,90,90)">
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</g>
<g transform="matrix(.017,-0,0,-.017,.062,15.988)"><path d="M417 653l-9 -18q-48 22 -111 22q-76 0 -125 -34q-48 -35 -48 -82q0 -44 37 -74t102 -39q68 109 177 175q108 66 197 66q45 0 74 -20.5t29 -55.5q0 -50 -58 -98q-59 -48 -150 -76q-93 -29 -189 -29q-41 -61 -41 -128q0 -30 17.5 -48.5t48.5 -18.5q104 0 269 151l15 -16&#10;q-35 -35 -66 -121q-83 -224 -330 -224q-72 0 -121 33q-48 34 -48 77q0 30 16.5 49.5t42.5 19.5q20 0 35.5 -14t15.5 -33q0 -22 -12 -36.5t-32 -14.5q-22 0 -29 13h-2q5 -24 41 -44q37 -19 83 -19q84 0 143 46.5t111 145.5l-1 1q-67 -44 -138 -44q-61 0 -99 35t-38 92&#10;q0 54 26 106q-79 13 -123 50t-44 93q0 61 59 103q58 43 148 43q71 0 127 -34zM699 590q0 20 -16 31t-41 11q-66 0 -149 -64q-84 -63 -132 -148q81 0 162 26q80 26 128 65.5t48 78.5z" id="x1D4A2"></path></g>
</svg>.</table></div><div class="floats-full-page-content"><table class="table-group" width="800px"><tr class="fig-image"><td><img alt="616024.fig.006" src="https://static-01.hindawi.com/articles/mpe/volume-2014/616024/figures/616024.fig.006.jpg" /></td></tr></table></div></div>

Figure 6 | Consensus of the Multiagent System with a Dynamic Leader Based on Directed Topology Using Laplace Transform

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Figure 6: Consensus of the Multiagent System with a Dynamic Leader Based on Directed Topology Using Laplace Transform

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Figure 6

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