Results 31 to 40 of about 2,436 (140)
Sensor-fault tolerance using robust MPC with set-based state estimation and active fault isolation [PDF]
, 2014 In this paper, a sensor fault-tolerant control (FTC) scheme using robust model predictive control (MPC) and set theoretic fault detection and isolation (FDI) is proposed.
Niculescu, Silviu-Iulian +4 more
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Hierarchical zonotopal spaces [PDF]
Transactions of the American Mathematical Society, 2012 Zonotopal algebra interweaves algebraic, geometric and combinatorial properties of a given linear map X. Of basic significance in this theory is the fact that the algebraic structures are derived from the geometry (via a non-linear procedure known as "the least map"), and that the statistics of the algebraic structures (e.g., the Hilbert series of ...
Holtz, Olga, Ron, Amos, Xu, Zhiqiang
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Robust fault detection for vehicle lateral dynamics: Azonotope-based set-membership approach [PDF]
, 2018 © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting /republishing this material for advertising or promotional purposes, creating new ...
Puig Cayuela, Vicenç
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Random Zonotopes and Valuations
Discrete & Computational Geometry, 2023 We define a random zonotope in Euclidean space, by adding finitely many random segments, which are independently and identically distributed. For this random polytope, we determine, under a mild assumption on the distribution, the expectations of the intrinsic volumes, more generally, the expectations of suitable valuations.
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A New Approach for Guaranteed State Estimation by Zonotopes [PDF]
, 2011 18th World CongressThe International Federation of Automatic ControlMilano (Italy) August 28 - September 2This paper proposes a methodology for guaranteed state estimation of linear discrete-time systems in the presence of bounded disturbances and noises.
Alamo, Teodoro +4 more
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GEOMETRIC BIJECTIONS FOR REGULAR MATROIDS, ZONOTOPES, AND EHRHART THEORY
Forum of Mathematics, Sigma, 2019 Let $M$ be a regular matroid. The Jacobian group $\text{Jac}(M)$ of $M$ is a finite abelian group whose cardinality is equal to the number of bases of $M$.
SPENCER BACKMAN +2 more
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Reachability analysis of linear hybrid systems via block decomposition [PDF]
, 2020 Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems.
Bogomolov, Sergiy +4 more
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Advances in Mathematics, 2011 A wealth of geometric and combinatorial properties of a given linear endomorphism $X$ of $\R^N$ is captured in the study of its associated zonotope $Z(X)$, and, by duality, its associated hyperplane arrangement ${\cal H}(X)$. This well-known line of study is particularly interesting in case $n\eqbd\rank X \ll N$.
Holtz, Olga, Ron, Amos
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The Arithmetic Tutte polynomial of two matrices associated to Trees
Special Matrices, 2018 Arithmetic matroids arising from a list A of integral vectors in Zn are of recent interest and the arithmetic Tutte polynomial MA(x, y) of A is a fundamental invariant with deep connections to several areas. In this work, we consider two lists of vectors
Bapat R. B. +1 more
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Hypertoric Varieties and Zonotopal Tilings [PDF]
International Mathematics Research Notices, 2016 31 ...
Arbo, Matthew, Proudfoot, Nicholas
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