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Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

Implementing Bogoliubov Transformations Beyond the Shale-Stinespring Condition. [PDF]

J Stat Phys
Lill S.
europepmc   +1 more source

High-Dimensional Knockoffs Inference for Time Series Data. [PDF]

J Am Stat Assoc
Chi CM, Fan Y, Ing CK, Lv J.
europepmc   +1 more source

On strong summability

Borwein, D., Rizvi, J.H.
openaire   +1 more source

Functional cointegration: definition and nonparametric estimation

, 2012
Pitarakis, Jean-Yves, Banerjee, Anurag
core  

Interpolating with generalized Assouad dimensions. [PDF]

J Geom Anal
Banaji A, Rutar A, Troscheit S.
europepmc   +1 more source

Summability in topological spaces

Applied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hüseyi̇N Çakalli
exaly   +6 more sources

On statistical A-summability

Mathematical and Computer Modelling, 2009
If \(x=(x_k)\) is a number sequence and \(A=(a_{nk})_{n,k=1}^{\infty}\) is an infinite matrix, then \(Ax\) is the sequence whose \(n\)th term is given by \(A_n(x) = \sum_{k=1}^{\infty}a_{n,k}x_k\). Thus we say that \(x\) is \(A\)-summable to \(L\) if \(\lim_n A_n(x)=L\).
M Mursaleen
exaly   +2 more sources

A summability factor theorem for a generalized absolute Cesàro summability

Mathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dansheng Yu
exaly   +2 more sources

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On Linear Functionals and Summability Factors for Strong Summability II

Canadian Journal of Mathematics, 1978
The first part of this paper, which will be referred to by I, appeared in Volume 30 of this journal. The present paper will use the same bibliography as I.Theorem 1 in I shows that the knowledge of all continuous linear functionals in o[A]p is essential in determining convergence and summability factors for strong summability.
Balser, W., Jurkat, W. B., Peyerimhoff, A.   +2 more
openaire   +1 more source