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Creators/Authors contains: "Adu, Daniel Owusu"

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  1. ; (, Research in the Mathematical Sciences)
    Free, publicly-accessible full text available March 1, 2026
  2. ; (, IEEE)
    Reparable systems are systems that are characterized by their ability to undergo maintenance actions when failures occur. These systems are often described by transport equations, all coupled through an integro-differential equation. In this paper, we address the understudied aspect of the controllability of reparable systems. In particular, we focus on a two-state reparable system and our goal is to design a control strategy that enhances the system availability- the probability of being operational when needed. We establish bilinear controllability, demonstrating that appropriate control actions can manipulate system dynamics to achieve desired availability levels. We provide theoretical foundations and develop control strategies that leverage the bilinear structure of the equations. 
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  3. ; (, IEEE Control Systems Letters)
    NA (Ed.)
    Building on the recent work by Geshkovski et al. (2023) which provides an interacting particle system interpretation of Transformers with a continuous-time evolution, we study the controllability attributes of the corresponding continuity equation across the landscape of probability space curves. In particular, we consider the parameters of the Transformer’s continuous-time evolution as control inputs. We prove that given an absolutely continuous probability measure and a non-local Lipschitz velocity field that satisfy a continuity equation, there exist control inputs such that the measure and the non-local velocity field of the Transformer’s continuous-time evolution approximate them, respectively, in the p-Wasserstein and Lp-sense, where 1 ≤ p < ∞. 
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  4. ; (, IEEE)
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