Currencies of Control: <i>Black Mirror, In Time</i>, and the Monetary Policies of Dystopia

Conway, Joe

doi:10.14321/crnewcentrevi.19.1.0229

Cited by 3 publications

(3 citation statements)

References 5 publications

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“…The COVID-19 pandemic has minimized direct interactions between people, hence making our setting more realistic. An extreme variant of this scenario is illustrated by the episode "Fifteen Million Merits" of the Black Mirror series [7].…”

Section: Numerical Example: Opinion Dynamicsmentioning

confidence: 99%

Quantitative Resilience of Linear Driftless Systems

Bouvier

Ornik

2021

2021 Proceedings of the Conference on Control and Its Applications

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This paper introduces the notion of quantitative resilience of a control system. Following prior work, we study linear driftless systems enduring a loss of control authority over some of their actuators. Such a malfunction results in actuators producing possibly undesirable inputs over which the controller has real-time readings but no control. By definition, a system is resilient if it can still reach a target after a partial loss of control authority. However, after such a malfunction, a resilient system might be significantly slower to reach a target compared to its initial capabilities. We quantify this loss of performance through the new concept of quantitative resilience. We define such a metric as the maximal ratio of the minimal times required to reach any target for the initial and malfunctioning systems. Naïve computation of quantitative resilience directly from the definition is a complex task as it requires solving four nested, possibly nonlinear, optimization problems. The main technical contribution of this work is to provide an efficient method to compute quantitative resilience. Relying on control theory and on two novel geometric results we reduce the computation of quantitative resilience to a single linear optimization problem. We demonstrate our method on an opinion dynamics scenario.

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Section: Numerical Example: Opinion Dynamicsmentioning

confidence: 99%

Quantitative Resilience of Linear Driftless Systems

Bouvier

Ornik

2021

2021 Proceedings of the Conference on Control and Its Applications

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“…The case T * N (d) = T * M (d) = 0 can only happen when d = 0, because x(0) = x 0 = x goal . To make this case coherent with (7) and (8) we choose…”

Section: Definition the Ratio Of Reach Times In The Directionmentioning

confidence: 99%

“…The COVID-19 pandemic has minimized direct interactions, hence making our setting more realistic. An extreme variant of this scenario is illustrated by the episode "Fifteen Million Merits" of the Black Mirror series [7].…”

Section: Opinion Dynamicsmentioning

confidence: 99%

Quantitative Resilience of Linear Driftless Systems

Bouvier¹,

Xu²,

Ornik³

2021

Preprint

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This paper introduces the notion of quantitative resilience of a control system. Following prior work, we study systems enduring a loss of control authority over some of their actuators. Such a malfunction results in actuators producing possibly undesirable inputs over which the controller has real-time readings but no control. By definition, a system is resilient if it can still reach a target after a partial loss of control authority. However, after a malfunction, a resilient system might be significantly slower to reach a target compared to its initial capabilities. We quantify this loss of performance through the new concept of quantitative resilience. We define such a metric as the maximal ratio of the minimal times required to reach any target for the initial and malfunctioning systems. Naive computation of quantitative resilience directly from the definition is a complex task as it requires solving four nested, possibly nonlinear, optimization problems. The main technical contribution of this work is to provide an efficient method to compute quantitative resilience. Relying on control theory and on two novel geometric results we reduce the computation of quantitative resilience to a single linear optimization problem. We illustrate our method on two numerical examples: an opinion dynamics scenario and a trajectory controller for low-thrust spacecrafts.

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Communicating Values Exemplified in a Catastrophic Media Image of New Technology and Media Usage in Black Mirror Based on Selected Examples

Rączy

Mirek-Rogowska

Sztuba

2022

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The modern world is strongly correlated with the media and new technologies. The human system of values is constantly threatened and subjected to numerous tests and challenges. Axiology faces a huge challenge in the face of modernity. Thanks to the serial productions these threats are strongly highlighted and accentuated, while the consequences of the use of media and new technologies are clearly depicted in the dystopian and catastrophic storyline. The communication of the image of the degradation of human values is superbly presented in the series Black Mirror, which has an ethical and educational dimension.

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Currencies of Control: Black Mirror, In Time, and the Monetary Policies of Dystopia

Cited by 3 publications

References 5 publications

Quantitative Resilience of Linear Driftless Systems

Quantitative Resilience of Linear Driftless Systems

Quantitative Resilience of Linear Driftless Systems

Communicating Values Exemplified in a Catastrophic Media Image of New Technology and Media Usage in Black Mirror Based on Selected Examples

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