Results 81 to 90 of about 11,601,754 (180)
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley +1 more source
Schur-convexity of the complete elementary symmetric function
We prove that the complete elementary symmetric function and the function are Schur-convex functions in , where are nonnegative integers, , . For which, some inequalities are established by use of the theory of majorization. A problem given by K.
Guan Kaizhong
doaj
Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems
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
Equivariant K-homology of affine Grassmannian and K-theoretic double k-Schur functions
We study the torus equivariant K-homology ring of the affine Grassmannian $\mathrm{Gr}_G$ where $G$ is a connected reductive linear algebraic group. In type $A$, we introduce equivariantly deformed symmetric functions called the K-theoretic double $k$-Schur functions as the Schubert bases.
Ikeda, Takeshi +2 more
openaire +2 more sources
Alcove random walks, k-Schur functions and the minimal boundary of the k-bounded partition poset
We use k-Schur functions to get the minimal boundary of the k-bounded partition poset. This permits to describe the central random walks on affine Grassmannian elements of type A and yields a polynomial expression for their drift. We also recover Rietsch's parametriza-tion of totally nonnegative unitriangular Toeplitz matrices without using quantum ...
Lecouvey, Cédric, Tarrago, Pierre
openaire +2 more sources
Elliptic Combinatorics and Markov Processes [PDF]
We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core +1 more source
A Randomized Algorithm for Simultaneously Diagonalizing Symmetric Matrices by Congruence
ABSTRACT A family of symmetric matrices A1,…,Ad$$ {A}_1,\dots, {A}_d $$ is simultaneously diagonalizable by congruence (SDC), also called nonorthogonal joint diagonalization, if there is an invertible matrix X$$ X $$ such that every XTAkX$$ {X}^T{A}_kX $$ is diagonal. In this work, a novel randomized SDC (RSDC) algorithm is proposed that reduces SDC to
Haoze He, Daniel Kressner
wiley +1 more source
Row-strict quasisymmetric Schur functions [PDF]
International audienceHaglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the $\textit{quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in ...
Jeffrey Remmel +3 more
core +1 more source
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine +2 more
wiley +1 more source
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

