Results 91 to 100 of about 448,247 (335)

Sensitivity Analysis of Eigenvalues for PDNT Toeplitz Matrices

Axioms
This study focuses on a class of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, mainly exploring their eigenvalue sensitivity and inverse problems. By the explicit expressions for eigenvalues and eigenvectors of PDNT Toeplitz matrices,
Zhaolin Jiang, Hongxiao Chu, Qiaoyun Miao, Ziwu Jiang   +3 more
doaj   +1 more source

The Solutions to Matrix Equation AX=B with Some Constraints

Journal of Applied Mathematics, 2014
Let P be a given Hermitian matrix satisfying P2=I. Using the eigenvalue decomposition of P, we consider the least squares solutions to the matrix equation AX=B with the constraints PX=XP and X*=X.
Chang-Zhou Dong, Yu-Ping Zhang
doaj   +1 more source

Robust Reinforcement Learning Control Framework for a Quadrotor Unmanned Aerial Vehicle Using Critic Neural Network

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai, Yefeng Yang, Tao Huang, Boyang Li   +3 more
wiley   +1 more source

Pseudoinverse formulation of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem

Journal of Applied Mathematics, 2003
A comprehensive treatment of Rayleigh-Schrödinger perturbation theory for the symmetric matrix eigenvalue problem is furnished with emphasis on the degenerate problem. The treatment is simply based upon the Moore-Penrose pseudoinverse thus distinguishing
Brian J. McCartin
doaj   +1 more source

On the two-parameter matrix pencil problem [PDF]

The multiparameter matrix pencil problem (MPP) is a generalization of the one- parameter MPP: given a set of r + 1, m × n complex matrices A0, . . . , Ar , with m ≥ n + r − 1, it is required to find all complex scalars λ0, . . . , λr , not all zero, such
Alsubaie, Fawwaz, Jaimoukha, Imad, Gungah, Satin   +2 more
core   +1 more source

LMI based Stability and Stabilization of Second-order Linear Repetitive Processes [PDF]

, 2010
This paper develops new results on the stability and control of a class of linear repetitive processes described by a second-order matrix discrete or differential equation.
Dabkowski, P, Rogers, E, Datta, B, Biswa Datta, Eric Rogers, Galkowski, K, Krzysztof Gałkowski, Pawel Dabkowski   +7 more
core   +1 more source

Sound‐Based Assembly of Magnetically Actuated Soft Robots Toward Enhanced Release of Extracellular Vesicles

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Magnetic soft robots offer promise in biomedicine due to their wireless actuation and rapid response, but current fabrication methods are complex and have limited cellular compatibility. A new, contactless bioassembly strategy using hydrodynamic instabilities is introduced, enabling customizable, centimeter‐scale robots.
Wei Gao, Riccardo Tognato, Micaela Natta, Elena Della Bella, Alessandro Cianciosi, Tiziano Serra   +5 more
wiley   +1 more source

Extremal Inverse Eigenvalue Problem for a Special Kind of Matrices

Journal of Applied Mathematics, 2014
We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for
Zhibing Liu, Yeying Xu, Kanmin Wang, Chengfeng Xu   +3 more
doaj   +1 more source

A matrix inverse eigenvalue problem and its application

, 1997
The problem of generating a matrix A with specified eigenvalues, which maps a given set of vectors of another given set, is presented. An existence theorem is given and proved. A stable algorithm for producing the matrix A is discussed.
Nian Li
semanticscholar   +1 more source

A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]

, 2009
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga, Varga, Andreas, Varga, Andras,, Varga, Andras, Sergei Gusev, Kagström, Bo, Anton Shiriaev, Gusev, Sergei,, Shiriaev, Anton,, Stefan Johansson, Johansson, Stefan, Shiriaev, Anton, Kågström, Bo,, Gusev, Sergei, Johansson, Stefan,   +14 more
core   +1 more source