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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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Video Experimental Relacionado

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Búsqueda de fuentes distribuidas resistentes de sistemas multirobot bajo ataques cibernéticos mixtos

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    Este estudio introduce un algoritmo de búsqueda de fuentes resistente para los sistemas multi-robot que se enfrentan a ciberataques. El método asegura que los robots encuentren una fuente incluso con mal comportamiento mixto y ataques de denegación de servicio.

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    Área de la Ciencia:

    • La robótica
    • Sistemas de control
    • Ciberseguridad

    Sus antecedentes:

    • Los sistemas multirrobot (MRS) se enfrentan a desafíos en las tareas de búsqueda de fuentes debido a los ataques cibernéticos.
    • Los ataques mixtos incluyen mal comportamiento (datos falsos, bizantinos) y denegación de servicio (DoS), que interrumpen la conectividad de la red.

    Objetivo del estudio:

    • Desarrollar un algoritmo de búsqueda de fuentes resistente para MRS de segundo orden bajo ataques cibernéticos mixtos.
    • Asegurar una coordinación fiable y la localización de fuentes a pesar de las vulnerabilidades de la red.

    Principales métodos:

    • Un nuevo algoritmo transforma el problema de búsqueda de fuentes en un problema auxiliar de seguimiento de puntos.
    • La velocidad de referencia guía a los robots benignos utilizando posiciones óptimas históricas.
    • Las señales de control se mantienen utilizando los últimos datos previos al ataque durante los ataques de DoS.

    Principales resultados:

    • El algoritmo propuesto asegura que los puntos auxiliares converjan a la fuente, agrupando robots benignos.
    • El sistema demuestra resistencia contra el mal comportamiento combinado y los ataques de DoS.
    • Se establecen rigurosamente las condiciones suficientes para la estabilidad.

    Conclusiones:

    • El algoritmo extiende los métodos de consenso resilientes existentes a los MRS de segundo orden en tiempo discreto.
    • Aborda efectivamente la búsqueda de fuentes resistentes bajo amenazas cibernéticas complejas y mixtas.
    • La simulación y los resultados experimentales validan la eficacia del algoritmo.