Results 41 to 50 of about 258,824 (188)
The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications
Journal of Inequalities and Applications, 2009 We prove that the Hamy symmetric function Fn(x,r)=∑1≤i1<i2<⋯<ir≤n(∏j=1rxij)1/r is Schur harmonic convex for x∈R+n.
Yuming Chu, Yupei Lv
doaj +2 more sources
Some counterexamples related to sectorial matrices and matrix phases
Examples and Counterexamples, 2021 A sectorial matrix is an n×nmatrix whose numerical range is contained in an open half-plane, and such matrices have many nice properties. In particular, the subset of strictly accretive matrices is a convex cone in the space of n×nmatrices, and results ...
Xin Mao, Li Qiu, Axel Ringh, Dan Wang
doaj +1 more source
A sufficient condition for Schur stability of the convex combination of the polynomials [PDF]
Opuscula Mathematica, 2005 In this paper is given a simple sufficient condition for Schur stability of the convex combination of the real polynomials.
Stanisław Białas
doaj
Machines, 2023 This paper discusses an observer-based control problem for uncertain Takagi–Sugeno Fuzzy Singular Systems (T-SFSS) subject to passivity performance constraints. Through the Parallel Distributed Compensation (PDC) approach and the Proportional Derivative (
Wen-Jer Chang +3 more
doaj +1 more source
A Grothendieck-Type Compactness Principle for Super Weakly Compact Sets
MathematicsThe classical Grothendieck compactness principle states that every norm-compact subset of a Banach space lies in the closed convex hull of a norm null sequence.
Jianjian Wang, Chunyan Luo, Junxi Chen
doaj +1 more source
Polytopes from Subgraph Statistics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study polytopes that are convex hulls of vectors of subgraph densities. Many graph theoretical questions can be expressed in terms of these polytopes, and statisticians use them to understand exponential random graph models.
Alexander Engström, Patrik Norén
doaj +1 more source
Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes +2 more
wiley +1 more source
High‐Order Sliding‐Mode control for MIMO Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley +1 more source
Schur Convexity and Inequalities for a Multivariate Symmetric Function [PDF]
Journal of Function Spaces, 2020 In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1≤i1<i2<⋯<ir≤n ∑j=1r xij/1−xij1/r on 0,1n and find several new analytical inequalities by use of the majorization theory, where x=x1,⋯,xn∈0,1n, r=1,2,⋯,n and i1,i2,⋯,in are positive integers.
Ming-Bao Sun +3 more
openaire +3 more sources
Some examples for stable and historic behavior in replicator equations
Examples and Counterexamples, 2022 The evolutionary dynamics of zero-sum and non zero-sum games under replicator equations could be drastically different from each other. In zero-sum games, heteroclinic cycles naturally occur whenever the species of the population supersede each other in ...
Mansoor Saburov
doaj +1 more source