Controllability of Flow-Conservation Transportation Networks with Fractional-Order Dynamics

<div>The result of OD networks. We need to install two controllers to make the system controllable, and the corresponding positions are as follows: <svg height="13.6586pt" id="M172" style="vertical-align:-4.350699pt" version="1.1" viewbox="-0.0498162 -9.3079 41.0292 13.6586" width="41.0292pt" 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="M238 0V26C174 32 166 38 166 104V712C132 700 70 683 18 677V653C81 647 87 645 87 577V104C87 38 78 32 15 26V0H238Z"></path></g><g transform="matrix(.013,0,0,-0.013,3.289,0)"><path d="M135 536C164 536 186 560 186 587C186 617 164 639 136 639C109 639 85 617 85 587C85 560 109 536 135 536ZM252 0V26C188 32 181 38 181 106V451C138 433 90 420 39 412V388C99 379 102 374 102 312V106C102 38 95 32 32 26V0H252Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.773,0)"><path d="M524 0V26C466 32 460 36 460 104V297C460 393 411 449 331 449C302 449 276 437 248 419C223 402 201 387 181 372V451C137 432 90 420 42 411V388C96 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Complexity

fig6

Figure 6

Figure 6: Controllability of Flow-Conservation Transportation Networks with Fractional-Order Dynamics 