Results 41 to 50 of about 1,569 (191)

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

On reverse Hilbert-type inequalities [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Biao, Wang, Xu-Huan, Wei, Wei, Wang, Haoxiang   +3 more
openaire   +2 more sources

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

An Equivalent Form Related to a Hilbert-Type Integral Inequality

Axioms, 2023
In the present paper, we establish an equivalent form related to a Hilbert-type integral inequality with a non-homogeneous kernel and a best possible constant factor. We also consider the case of homogeneous kernel as well as certain operator expressions.
Michael Th. Rassias, Bicheng Yang, Andrei Raigorodskii   +2 more
doaj   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source

A New Hardy–Hilbert-Type Integral Inequality Involving General Homogeneous Kernel and Two Derivative Functions of Higher Order

Mathematics
In this paper, by introducing a general homogeneous kernel function and several parameters, we establish a new Hardy–Hilbert-type integral inequality involving two derivative functions of higher-order.
Bicheng Yang, Shanhe Wu, Xianyong Huang
doaj   +1 more source

On Hilbert's type inequalities

Journal of Mathematical Analysis and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

On a New Hilbert-Hardy-Type Integral Operator and Applications

Journal of Inequalities and Applications, 2010
By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained.
Yang Bicheng, Liu Xingdong
doaj  

A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function

Journal of Inequalities and Applications, 2023
In this work, by the introduction of some parameters, a new half-discrete kernel function in the whole plane is defined, which involves both the homogeneous and the nonhomogeneous cases.
Minghui You
doaj   +1 more source