Radius of Robust Global Error Bound for Piecewise Linear Inequality Systems

Thai Doan Chuong ()
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Thai Doan Chuong: Ton Duc Thang University

Journal of Optimization Theory and Applications, 2021, vol. 191, issue 1, No 3, 68-82

Abstract: Abstract In this paper, we consider a subclass of uncertain convex inequality systems, called a class of uncertain piecewise linear systems, where the involved functions are piecewise linear. We define a concept of radius of robust global error bound for the piecewise linear inequality system under polytope uncertainty and provide formulas for calculating the radius of robust global error bound. This is achieved by employing a dual characterization for the existence of a robust global error bound of the uncertain piecewise linear system with polytope uncertainty.

Keywords: Uncertain linear inequality; Error bound; system; Piecewise linear function; Bounded data uncertainty; 49K99; 65K10; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01924-w

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