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- W4366999892 abstract "In this paper, we study the control properties of a new class of stochastic ensemble systems that consists of families of random variables. These random variables provide an increasingly good approximation of an unknown discrete, linear-time invariant (DLTI) system, and can be obtained by a standard, data-driven procedure. Our first result relates the reachability properties of the stochastic ensemble system with that of the limiting DLTI system. We then provide a method to combine the control inputs obtained from the stochastic ensemble systems to compute a control input for the DLTI system. Later, we deal with a particular kind of stochastic ensemble system generated from realizing Bernoulli random variables. For this, we characterize the variance of the computed state and control. We also do the same for a situation where the data is updated sequentially in a streaming fashion. We illustrate the results numerically in various simulation examples." @default.
- W4366999892 created "2023-04-27" @default.
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- W4366999892 date "2023-04-23" @default.
- W4366999892 modified "2023-10-18" @default.
- W4366999892 title "Control of Discrete-Time LTI Systems using Stochastic Ensemble Systems" @default.
- W4366999892 doi "https://doi.org/10.48550/arxiv.2304.11755" @default.
- W4366999892 hasPublicationYear "2023" @default.
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