Results 71 to 80 of about 3,636 (229)
Schur Functions and Alternating Sums [PDF]
The Electronic Journal of Combinatorics, 2006 We discuss several well known results about Schur functions that can be proved using cancellations in alternating summations; notably we shall discuss the Pieri and Murnaghan-Nakayama rules, the Jacobi-Trudi identity and its dual (Von Nägelsbach-Kostka) identity, their proofs using the correspondence with lattice paths of Gessel and Viennot, and ...
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Schur-Convexity of Čebišev Functional [PDF]
Mathematical Inequalities & Applications, 2011 In this paper the Čebišev functional T ( f, g ; a, b) is regarded as a function of two variables T ( f, g ; x, y), (x, y) ∈ [a, b]× [a, b]. The property of Schur-covexity (Schur-concavity) of this function is considered. Some applications for the means are pointed out.
Čuljak, Vera, Pečarić, Josip
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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
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The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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Hall-Littlewood Polynomials in terms of Yamanouchi words [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 This paper uses the theory of dual equivalence graphs to give explicit Schur expansions to several families of symmetric functions. We begin by giving a combinatorial definition of the modified Macdonald polynomials and modified Hall-Littlewood ...
Austin Roberts
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The Schur Algorithm for Generalized Schur Functions II: Jordan Chains and Transformations of Characteristic Functions [PDF]
Monatshefte f�r Mathematik, 2003 For each non-negative integer \(\kappa\), define the set \(S_\kappa\) to consist of all those complex-valued functions \(s\) that are meromorphic on the unit disc \({\mathbb D}\), have \(\kappa\) poles in the disc, and satisfy \(\limsup_{r\uparrow 1} {| s(re^{it})| }\leq 1\) for almost all \(t\in [0,\,2\pi]\). Equivalently, \(S_\kappa\) consists of all
Alpay, D. +3 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe +3 more
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Expanding K-theoretic Schur Q-functions
, 2023 We derive several identities involving Ikeda and Naruse’s K-theoretic Schur P- and Q-functions. Our main result is a formula conjectured by Lewis and the second author which expands each K-theoretic Schur Q-function in terms of K-theoretic Schur P ...
Yu-Cheng, Chiu, Marberg, Eric
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N $$ \mathcal{N} $$ = 2* Schur indices
Journal of High Energy Physics, 2023 We find closed-form expressions for the Schur indices of 4d N $$ \mathcal{N} $$ = 2* super Yang-Mills theory with unitary gauge groups for arbitrary ranks via the Fermi-gas formulation. They can be written as a sum over the Young diagrams associated with
Yasuyuki Hatsuda, Tadashi Okazaki
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Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
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