Causal inference with instruments and other supplementary variables by Ramsahai, R

“…Using an approach based on convex polytopes, bounds are computed here in terms of the pairwise (A,B) and (A,C) distributions, in direct analogy to the classic use but without the linearity assumption. …”

A Hybrid Automata Approach for Monitoring the Patient in the Loop in Artificial Pancreas Systems by Aleix Beneyto, Vicenç Puig, B. Wayne Bequette, Josep Vehi

“…To that aim, a linear parameter varying (LPV) polytopic representation of the system is adopted and a bank of Kalman filters is designed using linear matrix inequalities (LMI). …”
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Robust LNG sales planning under demand uncertainty: A data-driven goal-oriented approach by Yulin Feng, Xianyu Li, Dingzhi Liu, Chao Shang

“…First, we adopt data-driven polytopic uncertainty sets based on kernel learning, which yields a compact high-density region from data and assures tractability of RO problems. …”
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Robust output feedback control with guaranteed constraint satisfaction by Sadraddini, Sadra, Tedrake, Russell L

“…Instead, partial observability is often sufficient to design a correct controller. We provide the polytopic representation of observability errors and reachable sets in the form of zonotopes. …”
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Robust output feedback control with guaranteed constraint satisfaction by Sadraddini, Sadra, Tedrake, Russell L

“…Instead, partial observability is often sufficient to design a correct controller. We provide the polytopic representation of observability errors and reachable sets in the form of zonotopes. …”
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Distributionally robust optimization with marginals : theory and applications by Chen, Louis Lester.

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Campus Microgrid Data-Driven Model Identification and Secondary Voltage Control by Eros D. Escobar, Tatiana Manrique, Idi A. Isaac

“…The MPC strategy uses polytopic invariant sets as terminal sets to guarantee stability. …”
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Central limit model checking by Bortolussi, L, Cardelli, L, Kwiatkowska, M, Laurenti, L

“…In this paper we employ a continuous-space approximation of the CTMC in terms of a Gaussian process based on the Central Limit Approximation (CLA), also known as the Linear Noise Approximation (LNA), whose solution requires solving a number of differential equations that is quadratic in the number of species and independent of the population size.We then develop efficient and scalable approximate model checking algorithms on the resulting Gaussian process, where we restrict the target regions for probabilistic reachability to convex polytopes. This allows us to derive an abstraction in terms of a time-inhomogeneous discrete-time Markov chain (DTMC), whose dimension is independent of the number of species, on which model checking is performed. …”

Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids by Süli, E, Tscherpel, T

“…For incompressible unsteady flows of such fluids, subject to a homogeneous Dirichlet boundary condition on a Lipschitz polytopal domain Ω ⊂ Rd, d ∈ {2, 3}, we investigate a fully discrete approximation scheme, using a spatial mixed finite element approximation on general shape-regular simplicial meshes combined with backward Euler time-stepping. …”

Application of diagnostic methods in the verification of Lyme carditis (clinical case) by K.V. Myndziv, N.I. Yarema, N.Ya. Vereshchahina, V.I. Bondarchuk, U.P. Hevko, O.V. Vayda

“…The severe rhythm and conduction disorders were revealed with the method of Holter monitoring: AV-block of the first degree, transient AV-block of the II degree (Mobitz 2) and III degree, polytopic extrasystoles. The morphological changes in the heart were diagnosed with ultrasonography and cardiac MRI in order to confirm the diagnosis and to monitor the patient's subsequent course. …”
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Profile of Membrane Cargo Trafficking Proteins and Transporters Expressed under N Source Derepressing Conditions in <i>Aspergillus nidulans</i> by Sofia Dimou, Xenia Georgiou, Eleana Sarantidi, George Diallinas, Athanasios K. Anagnostopoulos

“…Solute and ion transporters are proteins essential for cell nutrition, detoxification, signaling, homeostasis and drug resistance. Being polytopic transmembrane proteins, they are co-translationally inserted and folded into the endoplasmic reticulum (ER) of eukaryotic cells and subsequently sorted to their final membrane destination via vesicular secretion. …”
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Targeted Proteomics Reveals Quantitative Differences in Low-Abundance Glycosyltransferases of Patients with Congenital Disorders of Glycosylation by Roman Sakson, Lars Beedgen, Patrick Bernhard, K. Merve Alp, Nicole Lübbehusen, Ralph Röth, Beate Niesler, Marcin Luzarowski, Olga Shevchuk, Matthias P. Mayer, Christian Thiel, Thomas Ruppert

“…Most of the glycosyltransferases (GTs) responsible for proper glycosylation are polytopic membrane proteins that represent challenging targets in proteomics. …”
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Probability-Guaranteed Set-Membership State Estimation for Polynomially Uncertain Linear Time-Invariant Systems by Wan, Yiming, Puig, Vicenc, Ocampo-Martinez, Carlos, Wang, Ye, Braatz, Richard D.

“…It explicitly accounts for the polynomial uncertainty structure, whilst most literature relies on conservative affine or polytopic overbounding. Online state estimation restructures the extended observer form, and constructs a Gaussian mixture model to approximate the state distribution. …”
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Probability-Guaranteed Set-Membership State Estimation for Polynomially Uncertain Linear Time-Invariant Systems by Wan, Yiming, Puig, Vicenc, Ocampo-Martinez, Carlos, Wang, Ye, Braatz, Richard D

“…It explicitly accounts for the polynomial uncertainty structure, whilst most literature relies on conservative affine or polytopic overbounding. Online state estimation restructures the extended observer form, and constructs a Gaussian mixture model to approximate the state distribution. …”
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Functional Characterization of the Saccharomyces cerevisiae Equilibrative Nucleoside Transporter 1 (ScENT1) by Rebba C. Boswell-Casteel, Jennifer M. Johnson, Franklin A. Hays

“…Equilibrative nucleoside transporters (ENTs) are polytopic membrane transporters responsible for the translocation of nucleosides, nucleobases—to a lesser extent—and nucleoside analog therapeutics across cellular membranes. …”
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Exploring the eukaryotic Yip and REEP/Yop superfamily of membrane-shaping adapter proteins (MSAPs): A cacophony or harmony of structure and function? by Timothy Angelotti

“…Polytopic cargo proteins are synthesized and exported along the secretory pathway from the endoplasmic reticulum (ER), through the Golgi apparatus, with eventual insertion into the plasma membrane (PM). …”
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Classifying divisor topologies for string phenomenology by Pramod Shukla

“…Abstract In this article we present a pheno-inspired classification for the divisor topologies of the favorable Calabi Yau (CY) threefolds with 1 ≤ h 1,1(CY) ≤ 5 arising from the four-dimensional reflexive polytopes of the Kreuzer-Skarke database. Based on some empirical observations we conjecture that the topologies of the so-called coordinate divisors can be classified into two categories: (i). χ h (D) ≥ 1 with Hodge numbers given by {h 0,0 = 1, h 1,0 = 0, h 2,0 = χ h (D) − 1, h 1,1 = χ(D) − 2χ h (D)} and (ii). χ h (D) ≤ 1 with Hodge numbers given by {h 0,0 = 1, h 1,0 = 1 −χ h (D), h 2,0 = 0, h 1,1 = χ(D) + 2 − 4χ h (D)}, where χ h (D) denotes the Arithmetic genus while χ(D) denotes the Euler characteristic of the divisor D. …”
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Linear Matrix Inequalities for an Iterative Solution of Robust Output Feedback Control of Systems with Bounded and Stochastic Uncertainty by Andreas Rauh, Swantje Romig

“…In addition to bounded parameter uncertainty, included in the LMI-based design by means of polytopic uncertainty representations, the recent work of the authors showed that state observers can be optimized with the help of LMIs so that their error dynamics become insensitive against stochastic noise. …”
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Fault-Tolerant Tracking Control for Linear Parameter-Varying Systems under Actuator and Sensor Faults by Slim Dhahri, Omar Naifar

“…LPV systems are described through a polytopic LPV representation with measurable gain scheduling functions. …”
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Non-Linear Behavioral Modeling for DC-DC Converters and Dynamic Analysis of Distributed Energy Systems by Xiancheng Zheng, Husan Ali, Xiaohua Wu, Haider Zaman, Shahbaz Khan

“…In this work, either a lookup table or a polytopic structure-based modeling technique is used. …”
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