The computation of biomarkers in pharmacokinetics with the aid of singular perturbation methods
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-018-1257-3
Abstract: In pharmacokinetics, exact solutions to one-compartment models with nonlinear elimination kinetics cannot be found analytically, if dosages are assumed to be administered repetitively through extravascular routes (Tang and Xiao in J Pharmacokinet Pharmacodyn 34(6):807–827, 2007).… read more here.
Keywords: computation biomarkers; perturbation methods; singular perturbation; biomarkers pharmacokinetics ... See more keywords
Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation
Sign Up to like & getrecommendations! Published in 2018 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-018-0439-1
Abstract: We consider piecewise smooth vector fields (PSVF) defined in open sets $$M\subseteq \mathbb {R}^n$$M⊆Rn with switching manifold being a smooth surface $$\Sigma $$Σ. We assume that $$M{\setminus }\Sigma $$M\Σ contains exactly two connected regions, namely… read more here.
Keywords: varepsilon; sigma; singular perturbation; regularization ... See more keywords
Singular perturbation-based saturated adaptive control for underactuated Euler-Lagrange systems.
Sign Up to like & getrecommendations! Published in 2021 at "ISA transactions"
DOI: 10.1016/j.isatra.2021.02.036
Abstract: This paper proposes a saturated smooth adaptive controller for regulating a certain type of underactuated Euler-Lagrange systems (UELSs) with modeling uncertainties and control saturations based on a singular perturbation approach. Compared with relevent literature, the… read more here.
Keywords: underactuated euler; lagrange systems; control; singular perturbation ... See more keywords
Γ-limits of singular perturbation problems involving energies with non-local terms
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.01.078
Abstract: Abstract We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24] , [25] to prove upper and lower… read more here.
Keywords: limits singular; non local; perturbation problems; singular perturbation ... See more keywords
Controllability of heterogeneous multiagent systems with two-time-scale feature.
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DOI: 10.1063/1.5090319
Abstract: In this paper, we investigate the controllability problems for heterogeneous multiagent systems (MASs) with two-time-scale feature under fixed topology. Firstly, the heterogeneous two-time-scale MASs are modeled by singular perturbation system with a singular perturbation parameter,… read more here.
Keywords: heterogeneous multiagent; time; two time; time scale ... See more keywords
A Singular Singular Perturbation Problem Arising From a Class of Biomolecular Feedback Controllers
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2018.2845547
Abstract: A long-standing challenge in synthetic biology is to engineer biomolecular systems that can perform robustly in highly uncertain cellular environments. Recently, there has been increasing interest to design biomolecular feedback controllers to address this challenge.… read more here.
Keywords: singular perturbation; sequestration; feedback; biomolecular feedback ... See more keywords
Model Boundary Approximation Method as a Unifying Framework for Balanced Truncation and Singular Perturbation Approximation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2908523
Abstract: We show that two widely accepted model reduction techniques, balanced truncation (BT) and balanced singular perturbation approximation (BSPA), can be derived as limiting approximations of a carefully constructed parameterization of linear time invariant systems by… read more here.
Keywords: singular perturbation; approximation; model boundary; model ... See more keywords
Singular Perturbation-Based Adaptive Integral Sliding Mode Control for Flexible Joint Robots
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Industrial Electronics"
DOI: 10.1109/tie.2022.3222684
Abstract: The flexible joint robot (FJR) typically experiences parametric variations, nonlinearities, underactuation, noise propagation, and external disturbances which seriously degrade the FJR tracking. This article proposes an adaptive integral sliding mode controller (AISMC) based on a… read more here.
Keywords: integral sliding; sliding mode; flexible joint; singular perturbation ... See more keywords
Spectral Deformation in a Problem of Singular Perturbation Theory
Sign Up to like & getrecommendations! Published in 2019 at "Doklady Mathematics"
DOI: 10.1134/s1064562419010186
Abstract: Quasi-classical asymptotic behavior of the spectrum of a non-self-adjoint Sturm–Liouville problem is studied in the case of a one-parameter family of potentials being third-degree polynomials. For this problem, the phase-integral method is used to derive… read more here.
Keywords: problem singular; singular perturbation; perturbation theory; problem ... See more keywords
Singular perturbation analysis of a two-site model for an epidemic in age-structured population
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524518500870
Abstract: We formulate a model describing the dynamics for the spatial propagation of an SIS epidemic within a population, with age structure, living in an environment divided into two sites. An analysis of ... read more here.
Keywords: age; perturbation analysis; singular perturbation; model ... See more keywords
Aircraft longitudinal decoupling based on a singular perturbation approach
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DOI: 10.1177/1687814017727474
Abstract: Aircraft longitudinal dynamics is approximated by short-time mode and phugoid mode from experience. In this article, a rigorous mathematical method is provided based on the singular perturbation theory to deal with this decoupling problem. The… read more here.
Keywords: aircraft longitudinal; perturbation; singular perturbation; based singular ... See more keywords