2012 IEEE/ACM Third International Conference on Cyber-Physical Systems 2012
DOI: 10.1109/iccps.2012.11
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Implantable Pacemakers Control and Optimization via Fractional Calculus Approaches: A Cyber-Physical Systems Perspective

Abstract: Managing cardiac disease and abnormal heart rate variability remain challenging problems with an enormous economic and psychological impact worldwide. Consequently, the purpose of this paper is to introduce a fractal approach to pacemaker design based on the constrained finite horizon optimal control problem. This is achieved by modeling the heart rate dynamics via fractional differential equations. Also, by using calculus of variations, we show that the constrained finite horizon optimal control problem can b… Show more

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Cited by 30 publications
(19 citation statements)
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“…Bogdan et al has proved that the FFLM is capable of modeling traditional CPS [16]. However, because chaotic systems are extremely sensitive to even tiny disturbance signals, hence the feedback signals in this model would possibly lead to an irredeemable disaster: the systems' dynamic evolutions deviate far from the expected trajectory, which means this traditional model is impossible to stable CPS when they are chaotic.…”
Section: Utilization Of Fuzzy Feedback Linearization Modelsmentioning
confidence: 95%
See 1 more Smart Citation
“…Bogdan et al has proved that the FFLM is capable of modeling traditional CPS [16]. However, because chaotic systems are extremely sensitive to even tiny disturbance signals, hence the feedback signals in this model would possibly lead to an irredeemable disaster: the systems' dynamic evolutions deviate far from the expected trajectory, which means this traditional model is impossible to stable CPS when they are chaotic.…”
Section: Utilization Of Fuzzy Feedback Linearization Modelsmentioning
confidence: 95%
“…This is because it may include unknown or unpredictable variables. Zhang et al developed a hybrid neural network and fuzzy control for automatic generation control in power systems [16]. In their work, recurrent neural network is employed to forecast control and future output of the system based on the current area control error (ACE) and the predicted change-of-ACE.…”
Section: Related Workmentioning
confidence: 99%
“…There must be a unified definition and representation of these events. A certain systematic mechanism must be implemented to compose these CPS events from the higher and lower levels and across the different system boundaries [74]. The event model that results from this composition can both serve as an offline analysis and run-time implementation.…”
Section: Event-based Cps Modelsmentioning
confidence: 99%
“…Finally, data-driven models such as [7] fit (fractional) differential equations directly to measured heart rate without modeling the underlying mechanisms, and are used for optimal control.…”
Section: Fig 3 Timing Of Electrical Behaviors Of the Heart Are Modementioning
confidence: 99%