Results 51 to 60 of about 50,277 (117)
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
Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial
In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone’s ...
Ravi P Agarwal +2 more
doaj +1 more source
Hybrid Coupling With Operator Inference and the Overlapping Schwarz Alternating Method
ABSTRACT This paper presents a hybrid approach for coupling subdomain‐local, nonintrusive Operator Inference (OpInf) reduced order models (ROMs) with each other and with subdomain‐local, high‐fidelity full order models (FOMs) using the overlapping Schwarz alternating method (O‐SAM).
Irina Tezaur +5 more
wiley +1 more source
A Remark on Schur-convexity of the mean of a convex function [PDF]
In this note two remarks have been made about proving convexity and Schu-convexity of the mean of the convex functionm associated with the Hadamard's inequality which is considered in literature [1] and [2]. References [1]Huan-Nan Shi, Schur-convex functions related to Hadamrd-type inequalities, JMI, 1 no.1 (2007), 127-136 [2] Huan-Nan Shi, Da-MAo Li ...
openaire +3 more sources
Tree metrics and log‐concavity for matroids
Abstract We show that a set function ν$\nu$ satisfies the gross substitutes property if and only if its homogeneous generating polynomial Zq,ν$Z_{q,\nu }$ is a Lorentzian polynomial for all positive q⩽1$q \leqslant 1$, answering a question of Eur–Huh.
Federico Ardila‐Mantilla +5 more
wiley +1 more source
Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications
We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1 ...
Wen Wang, Shiguo Yang
doaj +1 more source
The Schur convexity for the generalized Muirhead mean [PDF]
For x,y > 0 , a,b ∈ R with a+ b = 0 , the generalized Muirhead mean is defined by M(a,b;x,y) = ( xayb+xbya 2 ) 1 a+b . In this paper, we prove that M(a,b;x,y) is Schur convex with respect to (x,y)∈ (0,∞)×(0,∞) if and only if (a,b)∈ {(a,b)∈R2 : (a−b)2 a+b > 0 & ab 0} and Schur concave with respect to (x,y) ∈ (0,∞)×(0,∞) if and only if (a,b)∈ {(a,b)∈R+ :
Wei-Ming Gong, Hui Sun, Yuming Chu
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On Elliott's conjecture and applications
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
wiley +1 more source
General H-theorem and Entropies that Violate the Second Law
H-theorem states that the entropy production is nonnegative and, therefore, the entropy of a closed system should monotonically change in time. In information processing, the entropy production is positive for random transformation of signals (the ...
Alexander N. Gorban
doaj +1 more source
ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva +2 more
wiley +1 more source

