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International Mathematics Research Notices, ISSN 1073-7928, 2014, Volume 2014, Issue 17, pp. 4679 - 4714
We study the Benjamin-Ono equation, posed on the torus. We prove that an infinite sequence of weighted Gaussian measures, constructed in our previous work, are... 
L-2 | MATHEMATICS | GLOBAL WELL-POSEDNESS
Journal Article
Automatica, ISSN 0005-1098, 08/2012, Volume 48, Issue 8, pp. 1929 - 1933
In this paper, we investigate the problem of sliding mode control (SMC) of Markovian jump singular time-delay systems. The aim is to consider the bounded ℒ... 
gain performance | Markovian jump systems | Time-delay | Bounded ℒ | Singular systems | Sliding mode control | LMI APPROACH | DESIGN | Bounded L-2 gain performance | AUTOMATION & CONTROL SYSTEMS | VARYING DELAY | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
AUTOMATICA, ISSN 0005-1098, 01/2013, Volume 49, Issue 1, pp. 30 - 38
When network induced delays are considered in the event-triggered control literature, they are typically delays from the plant to the network controller and a... 
Networked control systems | Communication delays | Quantization | L-2 stability | Event-triggered control | Passivity | AUTOMATION & CONTROL SYSTEMS | Output feedback stabilization | ENGINEERING, ELECTRICAL & ELECTRONIC | Control systems | Analysis
Journal Article
Chemistry of Materials, ISSN 0897-4756, 05/2012, Volume 24, Issue 10, pp. 1904 - 1909
Using a combination of high-angle annular dark field scanning transmission electron microscopy and atomically resolved electron energy-loss spectroscopy at... 
electron energy-loss spectroscopy | ELNES | valency | energy-loss near edge structure | QUANTIFICATION | MATERIALS SCIENCE, MULTIDISCIPLINARY | EELS | CHEMISTRY, PHYSICAL | Fe-L-2,L-3 edge | CRYSTAL | brownmillerite | STEM | Co-L-2,L-3 edge | oxygen coordination | REDUCTION | SPECTRA | EDGE
Journal Article
Advances in Mathematics, ISSN 0001-8708, 02/2018, Volume 325, pp. 1 - 33
We obtain a local Sobolev constant estimate for integral Ricci curvature, which enables us to extend several important tools such as the maximal principle, the... 
Integral curvature bounds | Isoperimetric Constant | [formula omitted] Hessian estimates | Hessian estimates | MATHEMATICS | REGULARITY | FLOWS | L-2 Hessian estimates | RIEMANNIAN-MANIFOLDS
Journal Article
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, ISSN 0363-0129, 2019, Volume 57, Issue 2, pp. 1378 - 1389
Passivity and dissipativity have proven to be useful analysis and design tools in nonlinear systems. We generalize notions of passivity and dissipativity to... 
MATHEMATICS, APPLIED | LYAPUNOV FUNCTIONS | fractional order systems | dissipativity | L-2 stability | passivity | stability | AUTOMATION & CONTROL SYSTEMS
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 09/2019, Volume 47, Issue 2, pp. 516 - 525
One important problem in the theory of Hardy space is to find the best rational approximation of a given order to a function in the Hardy space H2 on the unit... 
Blaschke products | Best rational approximation | Hardy space | Gradient descent method | L-2 | MATHEMATICS, APPLIED | APPROXIMATION | Algorithms
Journal Article
Automatica, ISSN 0005-1098, 2008, Volume 44, Issue 8, pp. 2019 - 2026
Stability properties for a class of reset systems, such as systems containing a Clegg integrator, are investigated. We present Lyapunov based results for... 
Hybrid systems | [formula omitted] stability | Nonlinear systems | Disturbances | L | stability | nonlinear systems | PLANT | disturbances | hybrid systems | L-2 stability | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 12/2017, Volume 37, Issue 12, pp. 6035 - 6067
In this paper, we study the dynamics of a non-autonomous reaction diffusion model with the fractional diffusion on the whole space. We firstly prove the... 
pullback attraction | pullback attractors | Fractional diffusion | Tail estimate | Non-autonomous | MATHEMATICS, APPLIED | (L-2,H-s) pullback attractors | L-P | LAPLACIAN | MATHEMATICS | (L-2,L2+delta) pull-back attraction | SOBOLEV SPACES | fractional diffusion | PULLBACK ATTRACTORS | SYSTEMS | QUASI-GEOSTROPHIC EQUATION | TURBULENCE | DOMAINS
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 12/2018, Volume 19, pp. 1 - 37
Scalable machine learning over big data is an important problem that is receiving a lot of attention in recent years. On popular distributed environments such... 
Example partitioning | Distributed learning | regularization | CONVERGENCE CONDITIONS | L-2 regularization | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2017, Volume 263, Issue 8, pp. 4429 - 4441
We prove global existence for the one-dimensional cubic nonlinear Schrödinger equation in modulation spaces Mp,p′ for p sufficiently close to 2. In contrast to... 
MATHEMATICS | DISPERSIVE EQUATIONS | WELL-POSEDNESS | INFINITE L-2 NORM | NONLINEAR SCHRODINGER-EQUATION | WELLPOSEDNESS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2019, Volume 344-345, pp. 204 - 218
For a given symmetric refinable mask obeying the sum rule of order n, an explicit method is suggested for the construction of mutually symmetric almost... 
Frames | Lifting Scheme | Multivariate wavelets | Symmetry | AFFINE SYSTEMS | MATHEMATICS, APPLIED | BASES | CONSTRUCTION | GENERAL DILATION MATRIX | BIORTHOGONAL WAVELETS | L-2(R-D)
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 03/2020, Volume 278, Issue 5, p. 108396
We prove that if u1,u2 are real solutions of the Benjamin-Ono equation defined in (x,t)∈R×[0,T] which agree in an open set Ω⊂R×[0,T], then u1≡u2. We extend... 
Unique continuation | Benjamin-Ono equation | FLUIDS | L-2 | MATHEMATICS | SCATTERING TRANSFORM | IVP | SOLITARY WAVES | CAUCHY-PROBLEM | ENERGY SPACE | GLOBAL WELL-POSEDNESS
Journal Article
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2016, Volume 435, Issue 1, pp. 593 - 605
Journal Article
IEEE Transactions on Image Processing, ISSN 1057-7149, 04/2015, Volume 24, Issue 4, pp. 1341 - 1355
Journal Article
IEEE TRANSACTIONS ON SIGNAL PROCESSING, ISSN 1053-587X, 10/2014, Volume 62, Issue 19, pp. 5046 - 5058
Journal Article
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