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Time-Delay Multi-Agent Systems for a Movable Cloud

In: Computational Mathematics and Variational Analysis

Author

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  • Rabha W. Ibrahim

    (Ton Duc Thang University
    Ton Duc Thang University)

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.

Suggested Citation

  • Rabha W. Ibrahim, 2020. "Time-Delay Multi-Agent Systems for a Movable Cloud," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Computational Mathematics and Variational Analysis, pages 343-356, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-44625-3_19
    DOI: 10.1007/978-3-030-44625-3_19
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