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Award ID contains: 1934467

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  1. ; ; (, Automatica)
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  2. ; ; (, SIAM Journal on Control and Optimization)
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  3. ; ; (, Journal of Optimization Theory and Applications)
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  4. (, Discrete Mathematics Letters)
    This note addresses hyper-plane arrangements in Rd and functions that are constant in the interior of each of the d-dimensional faces of the arrangement. We show that such a function g can be expressed in a simple form using basis functions that are products of d or less indicator functions of the open half-spaces bounded by the hyper-planes in the arrangement. Moreover, we present a simple and efficient algorithm that can be used to express g as a linear combination of these basis functions. 
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  5. ; ; (, 2021 60th IEEE Conference on Decision and Control)
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  6. ; ; (, SIAM Journal on Control and Optimization)
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