State-Space Region-Invariance of Discrete-Time Control Systems
In the paper, the so-called region-invariance properties of discrete-time control systems are considered. An already known notion of positivity of control systems has been generalized (using a kind of geometric insight instead of a pure algebraic ...
Wiktor Malesza, Michal Slawomir Wiraszka
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Polyhedral Analysis using Parametric Objectives [PDF]
The abstract domain of polyhedra lies at the heart of many program analysis techniques. However, its operations can be expensive, precluding their application to polyhedra that involve many variables.
A. Miné +21 more
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Deforming $||.||_{1}$ into $||.||_{\infty}$ via Polyhedral Norms: A Pedestrian Approach
Motivated by the sparsity that appears in various relevant applications, polyhedral norms are thoroughly investigated, novel expressions of the unit balls associated with them are provided, and all the facets and vertices of these balls are determined. A similar treatment is given to the corresponding dual norms.
Gaudioso, Manlio +1 more
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Editing Watertight Manifold Polyhedra using Face Shifts with Automatic Topological Updates and Edge Flips [PDF]
In the context of urban 3D mapping, the 3D modelling step is a crucial operation, which can be very error prone, particularly when high fidelity and accuracy are required. While automatic reconstruction tools are way faster and less expensive than manual
F. Geniet, M. Brédif, B. Vallet
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Convex polyhedral abstractions, specialisation and property-based predicate splitting in Horn clause verification [PDF]
We present an approach to constrained Horn clause (CHC) verification combining three techniques: abstract interpretation over a domain of convex polyhedra, specialisation of the constraints in CHCs using abstract interpretation of query-answer ...
Bishoksan Kafle, John P. Gallagher
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Motion generation of a planar 3R serial chain based on conformal geometric algebra with applications to planar linkages [PDF]
A planar three-revolute (3R) serial chain is an important part of many mechanisms. The classical approach in motion generation of a planar 3R serial chain is to construct closed-loop equations based on complex numbers, which yields a large-scale ...
L. Wang +7 more
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A Polyhedral Approach for a Constrained Matching Problem [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hefner, A., Kleinschmidt, P.
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Ergodic Control and Polyhedral Approaches to PageRank Optimization [PDF]
We study a general class of PageRank optimization problems which consist in finding an optimal outlink strategy for a web site subject to design constraints. We consider both a continuous problem, in which one can choose the intensity of a link, and a discrete one, in which in each page, there are obligatory links, facultative links and forbidden links.
Fercoq, Olivier +3 more
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Dynamic programming for graphs on surfaces [PDF]
We provide a framework for the design and analysis of dynamic programming algorithms for surface-embedded graphs on n vertices and branchwidth at most k.
B. Courcelle +15 more
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Background RNA secondary structure prediction is a compute intensive task that lies at the core of several search algorithms in bioinformatics. Fortunately, the RNA folding approaches, such as the Nussinov base pair maximization, involve mathematical ...
Marek Palkowski, Wlodzimierz Bielecki
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