Global stabilizability of an anaerobic biodegradation process via piecewise constant feedback
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4914
Abstract: We consider a nonlinear model of an anaerobic digestion process with methane production. We propose a stabilizing control law involving piecewise constant feedback and study the asymptotic stability of the obtained closed‐loop system. An extremum… read more here.
Keywords: process; piecewise constant; constant feedback; global stabilizability ... See more keywords
A morphological approach to piecewise constant active contour model incorporated with the geodesic edge term
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DOI: 10.1007/s00138-020-01083-4
Abstract: Traditional level set-based image segmentation method has to solve the level set evolution equation which is the Euler–Lagrange equation of the energy functional defined on the image domain. Solving level set evolution equation is very… read more here.
Keywords: piecewise constant; active contour; model; constant active ... See more keywords
Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity
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DOI: 10.1007/s10958-018-4008-5
Abstract: The paper is devoted to the problem of finding the exact constant W2∗$$ {W}_2^{\ast } $$ in the inequality ‖f‖ ≤ K ⋅ ω2(f, 1) for bounded functions f with the property∫kk+1fxdx=0,k∈ℤ.$$ \underset{k}{\overset{k+1}{\int }}f(x) dx=0,\kern0.5em k\in \mathrm{\mathbb{Z}}. $$Our approach allows… read more here.
Keywords: piecewise constant; functions orthogonal; functions terms; orthogonal piecewise ... See more keywords
Stability Analysis of Impulsive Neural Networks with Piecewise Constant Arguments
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DOI: 10.1007/s11063-017-9638-y
Abstract: The global exponential stability problem is considered for a class of impulsive neural networks with piecewise constant arguments in this paper. By employing the Banach fixed point theorem and the Razumikhin-type technique, stability criterion is… read more here.
Keywords: piecewise constant; neural networks; networks piecewise; impulsive neural ... See more keywords
Exponentially Dichotomous Difference Equations with Piecewise Constant Operator Coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-020-01835-5
Abstract: We establish necessary and sufficient conditions for the exponential dichotomy of the solutions of linear difference equations with piecewise constant operator coefficients. read more here.
Keywords: difference equations; piecewise constant; operator coefficients; constant operator ... See more keywords
Identification of piecewise constant Robin coefficient for the Stokes problem using the Levenberg–Marquardt method
Sign Up to like & getrecommendations! Published in 2020 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-020-01199-3
Abstract: In this work, we prove the quadratic convergence of the Levenberg–Marquardt method for the inverse problem of identifying a Robin coefficient for the Stokes system, where we suppose that this parameter is piecewise constant on… read more here.
Keywords: levenberg marquardt; piecewise constant; marquardt method; robin coefficient ... See more keywords
Finite time estimation via piecewise constant measurements
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.07.330
Abstract: Abstract We study a broad class of linear continuous-time time-varying systems that contain piecewise continuous disturbances and piecewise constant outputs. Under an observability assumption, we construct a new type of observer to estimate the state… read more here.
Keywords: finite time; piecewise constant; time; via piecewise ... See more keywords
Sliding or Stumbling on the Staircase: Numerics of Ocean Circulation Along Piecewise‐Constant Coastlines
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Advances in Modeling Earth Systems"
DOI: 10.1029/2022ms003594
Abstract: Coastlines in most ocean general circulation models are piecewise constant. Accurate representation of boundary currents along staircase‐like coastlines is a long‐standing issue in ocean modeling. Pioneering work by Adcroft and Marshall (1998, https://doi.org/10.3402/tellusa.v50i1.14514) revealed that… read more here.
Keywords: sliding stumbling; staircase numerics; stumbling staircase; piecewise constant ... See more keywords
Stability of θ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2018.1562059
Abstract: ABSTRACT This paper deals with the analytical and numerical stability of a partial differential equation with piecewise constant arguments of alternately retarded and advanced type. Firstly, the theory of separation of variables in matrix form… read more here.
Keywords: piecewise constant; partial differential; alternately retarded; constant arguments ... See more keywords
Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Control"
DOI: 10.1080/00207179.2017.1390261
Abstract: ABSTRACT In this contribution, we study time-delay systems with distributed delay whose kernel is piecewise constant. It is shown that the problem of finding a Lyapunov matrix for this class of time-delay systems can be… read more here.
Keywords: piecewise constant; delay; class time; time delay ... See more keywords
Recovering piecewise constant refractive indices by a single far-field pattern
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DOI: 10.1088/1361-6420/ab958f
Abstract: We are concerned with the inverse scattering problem of recovering an inhomogeneous medium by the associated acoustic wave measurement. We prove that under certain assumptions, a single far-field pattern determines the values of a perturbation… read more here.
Keywords: geometry; far field; piecewise constant; single far ... See more keywords