Research on the Stability of NDGM Model with the Fractional Order Accumulation and Its Optimization

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static-preview.hindawi.com/articles/mpe/volume-2017/9728587/figures/9728587.fig.003a.svgz" name="9728587.fig.003a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>The <svg height="12.5037pt" id="M263" style="vertical-align:-0.2455006pt" version="1.1" viewbox="-0.0498162 -12.2582 55.0044 12.5037" width="55.0044pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M719 650H483V622C553 619 576 606 581 560C585 532 588 487 588 394V148H585L167 650H20V622C67 618 88 610 109 585C127 562 129 557 129 484V264C129 173 126 124 123 93C118 44 92 31 35 28V0H272V28C204 32 181 44 176 95C173 124 170 172 170 264V515H172L598 -9H629V394C629 487 631 532 635 563C639 606 663 619 719 622V650Z" id="g121-76"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="743" vert-adv-y="743" xpluscharwidth="9.659"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,9.659,0)"><path d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z" id="g121-66"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="735" vert-adv-y="735" xpluscharwidth="19.214"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,19.449,0)"><path d="M692 302H438V274C537 267 543 260 543 188V103C543 61 531 48 511 37C489 26 458 20 424 20C231 20 146 188 146 333C146 517 258 630 411 630C507 630 582 597 606 474L634 480C627 546 622 601 619 636C586 643 510 665 426 665C230 665 44 552 44 321C44 122 191 -15 411 -15C491 -15 573 7 635 21C629 49 628 81 628 116V202C628 261 632 266 692 274V302Z" id="g121-69"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="715" vert-adv-y="715" xpluscharwidth="28.744"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,28.744,0)"><path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z" id="g121-75"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="891" vert-adv-y="891" xpluscharwidth="40.327"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,40.477,-5.741)"><path d="M573 302C573 402 527 451 414 451C386 451 343 446 313 437L330 513L320 522C295 508 261 484 243 463L230 415C194 400 159 383 126 359L131 330C159 344 187 357 222 368L109 -147C96 -204 80 -214 18 -223L13 -255L256 -244L259 -212L236 -210C184 -205 180 -195 191 -141L219 -1C240 -10 268 -12 284 -12C352 4 431 48 484 104C543 166 573 240 573 302ZM481 290C481 165 381 37 305 37C280 37 249 56 235 71L302 395C328 399 353 402 372 402C427 402 481 378 481 290Z" id="g50-113"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="597" vert-adv-y="597" xpluscharwidth="45.90968209"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,45.911,-5.741)"><path d="M381 704H317L48 -163H112L381 704Z" id="g50-48"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="429" vert-adv-y="429" xpluscharwidth="49.81488713"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,49.818,-5.741)"><path d="M481 430L460 436C440 442 393 451 366 451C348 451 325 448 313 446C267 437 195 409 147 367C79 308 24 211 24 105C24 37 56 -12 93 -12C121 -12 156 1 199 32C246 66 313 122 349 168H351L286 -147C274 -205 261 -215 210 -224L199 -226L193 -255L438 -243L442 -214L417 -212C364 -208 359 -200 370 -140L433 204C455 324 469 389 481 430ZM391 385C382 336 366 260 358 238C321 178 209 59 143 59C129 59 115 83 115 131C115 207 152 317 220 373C243 392 282 403 314 403C348 403 374 395 391 385Z" id="g50-114"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="499" vert-adv-y="499" xpluscharwidth="54.358885029999996"></glyph.data></g></svg> model</td></tr><tr class="fig-image" id="b"><td><object data="https://static-preview.hindawi.com/articles/mpe/volume-2017/9728587/figures/9728587.fig.003b.svgz" name="9728587.fig.003b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>The NDGM model</td></tr><tr class="fig-image" id="c"><td><object data="https://static-preview.hindawi.com/articles/mpe/volume-2017/9728587/figures/9728587.fig.003c.svgz" name="9728587.fig.003c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>The DGM model</td></tr></table>

Mathematical Problems in Engineering

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Figure 3

Figure 3: Research on the Stability of NDGM Model with the Fractional Order Accumulation and Its Optimization 