Results 61 to 70 of about 2,874 (210)
On cone of nonsymmetric positive semidefinite matrices [PDF]
, 2010 In this paper, we analyze and characterize the cone of nonsymmetric positive semidefinite matrices (NS-psd). Firstly, we study basic properties of the geometry of the NS-psd cone and show that it is a hyperbolic but not homogeneous cone.
Xiu, Naihua, Wang, Yingnan, Han, Jiye
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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
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper presents novel results regarding the input–output finite‐time stability (IO‐FTS) of nonlinear quadratic systems (NLQSs), a class of dynamical models particularly useful for the study of robotic systems, biochemical reaction networks, and other processes of interest to the applied sciences.
Alessio Merola +5 more
wiley +1 more source
Restricted Riemannian geometry for positive semidefinite matrices [PDF]
, 2023 We introduce the manifold of {\it restricted} $n\times n$ positive semidefinite matrices of fixed rank $p$, denoted $S(n,p)^{*}$. The manifold itself is an open and dense submanifold of $S(n,p)$, the manifold of $n\times n$ positive semidefinite matrices
Sun, Qiang +2 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas +3 more
wiley +1 more source
Extremal positive semidefinite doubly stochastic matrices [PDF]
, 1991 Let Kn denote the closed convex set of all n-by-n positive semidefinite doubly stochastic matrices. The extreme points of Kn have not been determined. In this paper, we find some extreme points.
Pierce, Steve, Grone, Bob
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Fractional Hadamard powers of positive semidefinite matrices
Linear Algebra and its Applications, 2003 The authors consider the class \(\varphi_n\) of all real positive semidefinite \(n\times n\) matrices, and the subclass \(\varphi^+_n\) of all \(A\in\varphi_n\) with non-negative entries. For a positive, non-integer number \(\alpha\) and some \(A\in \varphi_n^+\), when will the fractional Hadamard power \(A^{\diamondsuit \alpha}\) again belong to ...
Fischer, P., Stegeman, J.D.
openaire +3 more sources
Low-Rank Optimization on the Cone of Positive Semidefinite Matrices [PDF]
SIAM Journal on Optimization, 2010 We propose an algorithm for solving optimization problems defined on a subset of the cone of symmetric positive semidefinite matrices. This algorithm relies on the factorization $X=YY^T$, where the number of columns of $Y$ fixes an upper bound on the rank of the positive semidefinite matrix $X$.
Journee, Michel +3 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper proposes a Machine Learning (ML)‐enabled estimator‐controller design framework, in which a parameterized Model Predictive Controller (MPC) and a parameterized Moving Horizon Estimator (MHE) are jointly refined using Bayesian Optimization (BO).
Hossein Nejatbakhsh Esfahani +1 more
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
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