Results 71 to 80 of about 41,020 (249)

Direct Data‐Driven State‐Feedback Control of Linear Parameter‐Varying Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The framework of linear parameter‐varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow us to synthesize LPV state‐feedback controllers directly from only a single sequence of data and guarantee stability and ...
Chris Verhoek, Roland Tóth, Hossam S. Abbas   +2 more
wiley   +1 more source

A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm

Journal of Inequalities and Applications, 2018
Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile,
Xuesha Wu
doaj   +1 more source

Nonnegative factorization of positive semidefinite nonnegative matrices

Linear Algebra and its Applications, 1980
AbstractWe give simple geometric proofs of the known results that, for n ⩽4, n × n nonnegative positive semidefinite matrices can be factored into n × n nonnegative factors and that, for n ⩾ 5, these conditions are not sufficient to guarantee the existence of such a factorization.
D.G. Wilson, L.J. Gray
openaire   +2 more sources

Real‐time Nonlinear Model Predictive Control of a Robotic Arm Using Spatial Operator Algebra Theory

Journal of Field Robotics, EarlyView.
ABSTRACT Nonlinear model predictive control (NMPC) has inherent challenges, such as high computational burden, nonconvex optimization, and the necessity of powerful and fast processors with large memory for real‐time robotics. In this study, a new NMPC strategy is proposed using Spatial Operator Algebra (SOA) theory to address these challenges, and ...
Tuğçe Yaren, Selçuk Kizir
wiley   +1 more source

Adaptation of Symmetric Positive Semi-Definite Matrices for the Analysis of Textured Images

Cybernetics and Information Technologies, 2018
This paper addresses the analysis of textured images using the symmetric positive semi-definite matrix. In particular, a field of symmetric positive semi-definite matrices is used to estimate the structural information represented by the local ...
Akl Adib
doaj   +1 more source

Semidefinite geometry of the numerical range

, 2010
The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular it is shown that the feasible set of a two-dimensional linear matrix inequality (LMI), an affine ...
Henrion, Didier
core   +1 more source

Mixed discriminants of positive semidefinite matrices

Linear Algebra and its Applications, 1989
AbstractIf Ak=(akij), k= 1,2,…,n, are n-by-n matrices, then their mixed discriminant D(A1,…,An) is given by D(A1,…,An=1n!∑σϵSnaσ(j)ij, where Sn is the symmetric group of degree n and where |·| denotes determinant. We give certain alternative ways of defining the mixed discriminant and state some basic properties.
openaire   +2 more sources

How data or error covariance can change and still retain BLUEs as well as their covariance or the sum of squares of errors

Australian &New Zealand Journal of Statistics, EarlyView.
Summary Misspecification of the error covariance in linear models usually leads to incorrect inference and conclusions. We consider two linear models, A$$ \mathcal{A} $$ and B$$ \mathcal{B} $$, with the same design matrix but different error covariance matrices. The conditions under which every representation of the best linear unbiased estimator (BLUE)
Stephen J. Haslett, Jarkko Isotalo, Augustyn Markiewicz, Simo Puntanen   +3 more
wiley   +1 more source

Distance Measures for Unweighted Undirected Networks: A Comparison Study

Australian &New Zealand Journal of Statistics, EarlyView.
ABSTRACT Networks are mathematical structures that allow the representation of complex systems by jointly modelling the elements of the system and the relationships that exist among them. To analyse different contexts or systems, methodological tools are necessary to allow for the quantitative estimation of the differences existing between two or more ...
Anna Simonetto, Matteo Ventura
wiley   +1 more source

Separability of symmetric states and vandermonde decomposition

New Journal of Physics, 2020
Symmetry is one of the central mysteries of quantum mechanics and plays an essential role in multipartite entanglement. In this paper, we consider the separability problem of quantum states in the symmetric space.
Lilong Qian, Lin Chen, Delin Chu
doaj   +1 more source