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
Singular perturbation-based robust controller for a class of nonlinear systems
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Control"
DOI: 10.1080/00207179.2024.2421819
Abstract: Switched nonlinear differential equations have the ability to capture the discontinuous behaviour of dynamical systems while modelling of systems like chemical processes, robots, and multi-agent interconnections. This work proposes a new time-scale redesign-based robust filter… read more here.
Keywords: based robust; time; nonlinear systems; singular perturbation ... See more keywords
Improved-third-order-extended-state-observer-based sliding-mode control using singular perturbation theory for flexible-joint robot
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Control"
DOI: 10.1080/00207179.2025.2481602
Abstract: In order to cope with the changing industrial operation environment, based on the Flexible Joint Robot systems (FJR), this paper explores a control method of decoupling high-order systems by using singular perturbation theory (SPT). Considering… read more here.
Keywords: control; flexible joint; joint robot; singular perturbation ... See more keywords
Renormalization group method for singular perturbation system with additive fractional Gaussian noise
Sign Up to like & getrecommendations! Published in 2024 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2024.2425721
Abstract: Abstract In this article, we study the approximate solution of a class of singular perturbation systems driven by additive fractional Gaussian noise with the Hurst parameter H∈(1/2,1) by the renormalization group (RG) method. We combine… read more here.
Keywords: system; gaussian noise; renormalization group; singular perturbation ... 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 Margin of INDI-Based Flight Control Systems With Delays
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2025.3551210
Abstract: A linear singularly perturbed system (SPS) based on a linear approximation of incremental nonlinear dynamic inversion (INDI) is formulated for a general INDI-based flight control system. This system includes first-order actuator dynamics where its time… read more here.
Keywords: indi; singular perturbation; based flight; indi based ... See more keywords