Abstract
Adaptable splitting of calculations between movable devices and cloud is a significant and exciting research subject for movable cloud computing systems. Current work’s emphasis on the single-agent, neighbor-agent, or multi-agent systems, which aim to optimize the request achievement time for one particular agent. Due to the monopolistic competition for cloud resources among a large number of agents, the divested computations may be performed with a definite scheduling delay on the cloud. In this effort, we introduce three distributed dynamical systems, based on fractional calculus, describing the delay for single-agent, neighbor-agent, and multi-agent systems. We impose a new class of mixed-index time fractional differential equations. In addition, we investigate the asymptotic stability properties by using the fractional Cauchy’s method. We discuss the case of time-delay systems. A simulation is illustrated.
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Ibrahim, R.W. (2020). Time-Delay Multi-Agent Systems for a Movable Cloud. In: Daras, N., Rassias, T. (eds) Computational Mathematics and Variational Analysis. Springer Optimization and Its Applications, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-030-44625-3_19
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DOI: https://doi.org/10.1007/978-3-030-44625-3_19
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