Results 51 to 60 of about 2,436 (140)
Mathematika, 1975 A d-dimensional zonotope Z in Ed which is the vector sum of n line segments is linearly equivalent to the image of a regular n-cube under some orthogonal projection. The zonotope S0025579300006082_inline1 in En-d which is the image of the same cube under projection on to the orthogonal complementary subspace is said to be associated with Z.
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Classification of External Zonotopal Algebras [PDF]
The Electronic Journal of Combinatorics, 2019 In this paper we work with power algebras associated to hyperplane arrangements. There are three main types of these algebras, namely, external, central, and internal zonotopal algebras. We classify all external algebras up to isomorphism in terms of zonotopes.
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Tube-Based Model Predictive Control Based on Constrained Zonotopes
IEEE AccessThis paper introduces a tube-based Model Predictive Control (MPC) formulation for high-order uncertain Linear Parameter-Varying (LPV) systems, utilizing efficient set representations.
Richard Andrade +2 more
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Zonotopic fault detection observer design for Takagi–Sugeno fuzzy systems [PDF]
, 2018 This paper considers zonotopic fault detection observer design in the finite-frequency domain for discrete-time Takagi–Sugeno fuzzy systems with unknown but bounded disturbances and measurement noise. We present a novel fault detection observer structure,
Li, Jitao +3 more
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Cubillages of cyclic zonotopes [PDF]
Russian Mathematical Surveys, 2019 Abstract A survey is given of recent results on fine zonotopal tilings by cubes (briefly, cubillages) of cyclic zonotopes. The main interest of this theory is that it is interrelated with the theory of higher Bruhat orders, as well as with the parallel theory of triangulations of cyclic polytopes and Tamari–Stasheff posets, used in ...
Danilov, Vladimir I. +2 more
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Joint Unbiased and Minimum‐Variance Based Input and State Estimation for Linear Constrained Systems
IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.Using unbiased estimations, a recursive filter where the interconnected unknown inputs, constraints and states are decoupled is developed based on the least squares and minimum variance estimations. ABSTRACT Unbiased estimation problem for constrained linear systems is considered, where the systems are subject to unknown inputs that exist in both the ...
Yanting Yang, Yuemei Qin
wiley +1 more source
Toric surface codes and Minkowski length of polygons [PDF]
, 2008 In this paper we prove new lower bounds for the minimum distance of a toric surface code defined by a convex lattice polygon P. The bounds involve a geometric invariant L(P), called the full Minkowski length of P which can be easily computed for any ...
Batyrev V. +3 more
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Observer Design and Residual Evaluation of System Actuators With Lipschitz Nonlinearity
Complexity, Volume 2026, Issue 1, 2026.Summary: This paper studies observer design and residual evaluation of system actuators with Lipschitz nonlinearity. A fault detection observer for actuators that satisfies the Lipschitz nonlinearity condition is proposed in the finite‐frequency domain to ensure its robustness to disturbances and sensitivity to faults under bounded fault amplitude ...
Zhihao Zhang +4 more
wiley +1 more source
A Validation Methodology for XAI Decision Support Systems Against Relational Domain Properties
Journal of Software: Evolution and Process, Volume 37, Issue 10, October 2025.ABSTRACT The global adoption of artificial intelligence (AI) has increased dramatically in recent years, becoming commonplace in many fields. Such a pervasiveness has led to changes in how AI is perceived, strengthening discussions on its societal consequences. Thus, a new class of requirements for AI‐based solutions emerged. Broadly speaking, those on
Emanuele De Angelis +3 more
wiley +1 more source
A new approach for Guaranteed ellipsoidal state estimation [PDF]
, 2014 The 19th World Congress of the International Federation of Automatic Control 2014. Cape Town, SudáfricaThis paper proposes a new ellipsoid-based guaranteed state estimation approach for linear discrete-time systems with bounded perturbations and bounded ...
Alamo, Teodoro +4 more
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