Results 81 to 90 of about 429,306 (281)

Iterative Algorithm for Solving a System of Nonlinear Matrix Equations

Journal of Applied Mathematics, 2012
We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive ...
Asmaa M. Al-Dubiban
doaj   +1 more source

On The Positive Definite Solutions Of Nonlinear Matrix Equation

, 2013
In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case r>-δi are discussed. An algorithm that avoids matrix inversion with the case -1<-δi<0 is proposed.
Baoguang, Tian, Chunyan, Liang, And Chen Nan   +2 more
openaire   +1 more source

A fast, preconditioned conjugate gradient Toeplitz solver [PDF]

A simple factorization is given of an arbitrary hermitian, positive definite matrix in which the factors are well-conditioned, hermitian, and positive definite.
Pan, Victor, Schrieber, Robert
core   +1 more source

Wearable exoskeleton robot control using radial basis function‐based fixed‐time terminal sliding mode with prescribed performance

Asian Journal of Control, EarlyView.
Abstract This paper tackles the problem of robust and accurate fixed‐time tracking in human–robot interaction and deals with uncertainties. This work introduces a control approach for a wearable exoskeleton designed specifically for rehabilitation tasks.
Mahmoud Abdallah, Yassine Kali, Maarouf Saad, Raouf Fareh, Maamar Bettayeb   +4 more
wiley   +1 more source

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen, Mehran Shakarami, Jacquelien M. A. Scherpen, Nima Monshizadeh   +3 more
wiley   +1 more source

有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse with applications)

Zhejiang Daxue xuebao. Lixue ban, 2019
In this paper, firstly, we establish the inertia formulae for some matrix expressions related to the generalized inverse . Then, as applications, based on the derived inertia formulae, we study the definiteness of some matrices.
WUZhongcheng(吴中成), HENingxin(贺宁馨)   +1 more
doaj   +1 more source

Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems

Asian Journal of Control, EarlyView.
Abstract This paper presents a distributed adaptive mixing control (AMC) design for formation maintenance of systems of multiquadrotor UAVs (q‐UAVs) during commanded path‐tracking maneuvers. The proposed formation control scheme has a two‐level structure. The high level defines the desired trajectories for rigid and persistent formation acquisition and
Nasrettin Köksal, Barış Fidan, Ahmed Fahim Mostafa   +2 more
wiley   +1 more source

Generalizations of the Kantorovich and Wielandt Inequalities with Applications to Statistics

Mathematics
By utilizing the properties of positive definite matrices, mathematical expectations, and positive linear functionals in matrix space, the Kantorovich inequality and Wielandt inequality for positive definite matrices and random variables are obtained ...
Yunzhi Zhang, Xiaotian Guo, Jianzhong Liu, Xueping Chen   +3 more
doaj   +1 more source

Trace inequalities for positive definite matrix power products

Linear Algebra and its Applications, 1990
Let A and B be Hermitian positive semidefinite \(N\times N\) matrices and let the eigenvalues of A and B be \(a_ 1,...,a_ N\) and \(b_ 1,...,b_ N\), respectively, with \(0\leq a_ 1\leq a_ 2\leq...\leq a_ N\) and \(0\leq b_ 1\leq b_ 2\leq...\leq b_ N\). The authors give an elementary proof for the inequalities: \[ \sum^{N}_{i=1}a^ n_ i b^ n_{N-i}\leq tr(
Bushell, P.J., Trustrum, G.B.
openaire   +2 more sources

A compatibility criterion for optimal control and information aggregation in hierarchical network systems

Asian Journal of Control, EarlyView.
Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley   +1 more source