A sharper stability bound of Fourier frames

1999 ◽  
Vol 5 (1) ◽  
pp. 67-71
Author(s):  
Weifeng Su ◽  
Xingwei Zhou
Keyword(s):  
Stability Bound ◽  
Fourier Frames

D-stability bound analysis for discrete multiparameter singularly perturbed systems

1997 ◽  
Vol 44 (4) ◽  
pp. 347-351 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Shing-Tai Pan ◽  
Ching-Cheng Teng
Keyword(s):  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Stability Bound ◽  
Perturbed Systems ◽  
Bound Analysis

scholarly journals Stability of nonlinear Volterra equations

2017 ◽  
Vol 65 (3) ◽  
pp. 333-340
Author(s):  
P. H. A. Ngoc ◽  
L. T. Hieu
Keyword(s):  
Global Exponential Stability ◽  
Zero Solution ◽  
Volterra Equations ◽  
Time Varying ◽  
Bidirectional Associative Memory ◽  
Stability Bound ◽  
Novel Approach ◽  
Nonlinear Volterra Equations ◽  
Volterra Difference Equations ◽  
Explicit Criteria

AbstractUsing a novel approach, we present some new explicit criteria for global exponential stability of the zero solution of general nonlinear time-varying Volterra difference equations. Furthermore, an explicit stability bound for equations subject to nonlinear time-varying perturbations is given. Finally, the obtained results are used to study uniform attraction of equilibrium of discrete-time bidirectional associative memory (BAM) neural networks. Some illustrative examples are given.

Stability of circular Couette flow with variable inner cylinder speed

1982 ◽  
Vol 123 ◽  
pp. 43-57 ◽  
Author(s):  
G. P. Neitzel
Keyword(s):  
Angular Velocity ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Outer Cylinder ◽  
Finite Amplitude ◽  
Reverse Direction ◽  
Stability Bound ◽  
Concentric Cylinders ◽  
Theory Result ◽  
Stability Enhancement

Energy & ability theory is employed to study the finite-amplitude stability of a viscous incompressible fluid occupying the space between a pair of concentric cylinders when the inner-cylinder angular velocity varies linearly with time. For the case with a fixed outer cylinder and increasing inner-cylinder speed, we find an enhancement of stability, consistent with a linear-theory result due to Eagles. When the inner-cylinder speed decreases, we find an initially decreased stability bound, indicating the possibility of hysteresis, while, if the inner cylinder is allowed to reverse direction and linearly increase in speed, we find significant stability enhancement.

scholarly journals Fuzzy Controllers for Nonaffine-in-Control Singularly Perturbed Switched Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Linna Zhou ◽  
Qianjin Wang ◽  
Xiaoping Ma ◽  
Chunyu Yang
Keyword(s):  
Switched Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Design Method ◽  
Singularly Perturbed ◽  
Dynamic State ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Stability Bound ◽  
Takagi Sugeno

This paper investigates the problem of fuzzy controller design for nonaffine-in-control singularly perturbed switched systems (NCSPSSs). First, the NCSPSS is approximated by Takagi-Sugeno (T-S) models which include not only state but also control variables in the premise part of the rules. Then, a dynamic state feedback controller design method is proposed in terms of linear matrix inequalities. Under the controller, stability bound estimation problem of the closed-loop system is solved. Finally, an example is given to show the feasibility and effectiveness of the obtained methods.

scholarly journals Fourier Frames for Surface-Carried Measures

2020 ◽  
Author(s):  
Alex Iosevich ◽  
Chun-Kit Lai ◽  
Bochen Liu ◽  
Emmett Wyman
Keyword(s):  
Compact Manifold ◽  
Measure Zero ◽  
Orthogonal Basis ◽  
Surface Measure ◽  
Locally Compact ◽  
Locally Compact Abelian Groups ◽  
Fourier Frames ◽  
Positive Gaussian Curvature ◽  
Compact Abelian Groups ◽  
Fourier Frame

Abstract In this paper, we show that the surface measure on the boundary of a convex body of everywhere positive Gaussian curvature does not admit a Fourier frame. This answers a question proposed by Lev and provides the 1st example of a uniformly distributed measure supported on a set of Lebesgue measure zero that does not admit a Fourier frame. In contrast, we show that the surface measure on the boundary of a polytope always admits a Fourier frame. We also explore orthogonal bases and frames adopted to sets under consideration. More precisely, given a compact manifold $M$ without a boundary and $D \subset M$, we ask whether $L^2(D)$ possesses an orthogonal basis of eigenfunctions. The non-abelian nature of this problem, in general, puts it outside the realm of the previously explored questions about the existence of bases of characters for subsets of locally compact abelian groups. This paper is dedicated to Alexander Olevskii on the occasion of his birthday. Olevskii’s mathematical depth and personal kindness serve as a major source of inspiration for us and many others in the field of mathematics.

scholarly journals The Buchdahl stability bound in Eddington-inspired Born-Infeld gravity

2019 ◽  
Vol 43 (8) ◽  
pp. 083107 ◽  
Author(s):  
Wei-Xiang Feng ◽  
Chao-Qiang Geng ◽  
Ling-Wei Luo
Keyword(s):  
Stability Bound

Detecting Edges from Non-uniform Fourier Data Using Fourier Frames

2016 ◽  
Vol 71 (2) ◽  
pp. 737-758 ◽  
Author(s):  
Anne Gelb ◽  
Guohui Song
Keyword(s):  
Fourier Data ◽  
Fourier Frames

IL-3 Coordination of the Myeloblast Transcriptome by Modulating mRNA Stability

Blood ◽  
2008 ◽  
Vol 112 (11) ◽  
pp. 3863-3863
Author(s):  
Jason Ernst ◽  
Ziv Bar-Joseph ◽  
Louis Ghanem ◽  
Richard A. Steinman
Keyword(s):  
Transcriptional Activation ◽  
Rna Processing ◽  
Mrna Stability ◽  
Leukemic Cell ◽  
Stability Control ◽  
Northern Blotting ◽  
Leukemic Transformation ◽  
Significance Level ◽  
Stability Bound ◽  
Survival And Growth

Abstract The growth factor interleukin-3 (IL-3) promotes the survival and growth of multipotent hematopoietic progenitors and stimulates myelopoiesis. It has also been reported to oppose terminal granulopoiesis and to support leukemic cell growth through autocrine or paracrine mechanisms. While most investigations of the action of hematopoietic cytokines such as IL-3 have focused on cytokine signal transduction leading to transcriptional activation, IL3 has been reported to downregulate proapoptotic Bim in factor-dependent lymphocytes (Matsui et. al., Mol. Cell, 2007). We hypothesized that IL-3 could support the myeloblast phenotype and oppose differentiation by stabilizing transcripts involved in proliferation or differentiation blockade. Kinetic microarray analysis of actinomycin chase experiments in IL-3-dependent 32Dcl3 myeloblasts demonstrated that IL-3 caused stabilization of hundreds of transcripts in pathways relevant to myeloblast function. Control of transcript decay by IL-3 did not require new transcription. Among the most IL-3 stabilized transcripts, 8 out of the top 22 gene ontology categories at a corrected significance level <0.001 were related to cell cycling, and 5 were related to RNA processing. Northern Blotting validated stabilization of transcripts by IL-3, including transcripts associated with proliferation and leukemic transformation (pik3cd, myb, pim-1), hematopoietic development (cited2), differentiation control (cdkn1a) and RNA processing (BRF1, BRF2). A domain was localized in the 3′-utr of IL-6 that mediated IL-3 responsiveness. Proteins known to modulate mRNA stability bound to this domain and to other IL-3 controlled transcripts. The v-Abl oncoprotein (that can support cytokine-independent proliferation of 32Dcl3 myeloblasts) was also shown to stabilize several of the IL-3 targeted transcripts. These findings support a new model of IL-3 action through coordinated mRNA stability control and suggest that leukemic oncoproteins can hijack the ability of IL3 to regulate the decay rate of critical transcripts in myeloblasts.

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