Results 61 to 70 of about 2,529 (224)

Robust stability of singularly perturbed systems with delays [PDF]

52nd IEEE Conference on Decision and Control, 2013
We consider in this work stability of singularly perturbed systems with time delays. It is shown that if the boundary layer system is robustly globally asymptotically stable and if the reduced slow system admits a Lyapunov-Razumikhin function, then the singularly perturbed system has certain “practical and semi-global” asymptotic stability property as ...
Yang Yang,, Yuan Wang,
openaire   +2 more sources

A Midpoint Upwind Numerical Scheme for Singularly Perturbed Differential Difference Equations

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
In this work, we consider a class of singularly perturbed differential‐difference equations with small shift parameters in the convection and reaction terms, which frequently arise in applied mathematics and engineering. The presence of a small diffusion parameter ε, (0 < ε ≪ 1) causes the solution of the considered problem to exhibit steep gradients ...
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Jaume Giné   +3 more
wiley   +1 more source

Optimal Placement of Solar PV Using Time‐Series Load Flow Analysis and Diurnal Load Factor in High‐Voltage Distribution Network

International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.
In the midst of rapid growth in the power sector, there is a pressing need to address increasing load demands and the introduction of additional electrical vehicle‐related loads. Renewable energy resources, particularly solar photovoltaics (PVs), emerge as crucial allies in meeting the rising electricity requirements. However, integrating solar PV into
Muthuveerappan S., Dhayalini K., Jagabar Sathik M., Youcef Belkhier   +3 more
wiley   +1 more source

Symbolic models for incrementally stable singularly perturbed hybrid affine systems

, 2019
International audienceIn this paper, we consider the problem of symbolic models design for the class of incrementally stable singularly perturbed hybrid affine systems.
Antoine Girard, Zohra Kader, Kader, Zohra, Girard, Antoine   +3 more
core   +1 more source

Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele, Dagnachew Mengstie Tefera, Patricia J. Y. Wong   +2 more
wiley   +1 more source

On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]

, 2012
This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT, Chapman, John Robert   +1 more
core  

Stability analysis of singularly perturbed switched and impulsive linear systems

, 2016
International audienceThis paper proposes a new methodology for stability analysis of singularly perturbed linear systems whose dynamics is affected by switches and state jumps.
Daafouz, Jamal, Antoine Girard, Morarescu, Irinel-Constantin, Irinel-Constantin Morarescu, Ben Rejeb, Jihene, Jihene Ben Rejeb, Girard, Antoine, Jamal Daafouz   +7 more
core   +1 more source

Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]

, 2009
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A., Robinson, James C., CARVALHO, Alexandre N., Carvalho, Alexandre Nolasco de   +3 more
core   +1 more source

Spline‐Based Computational Technique for Singularly Perturbed Fredholm Integro‐Differential Problems

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In this work, using a spline‐based discretization, we develop a computational approach for singularly perturbed Fredholm integro‐differential equations. The scheme addresses the challenges of the singular perturbation parameter ϵ through a tension and compression spline technique, coupled with Simpson’s rule for quadrature approximations.
Rajagopal S., Dinesh Kumar S., Patricia J. Y. Wong   +2 more
wiley   +1 more source

On a Hypercycle System with Nonlinear Rate

, 2001
We study an (N+1)-hypercyclical reaction-diffusion system with nonlinear reaction rate n. It is shown that there exists a critical threshold N_0 such that for N\leq N_0 the system is stable while for N> N_0 it becomes unstable.
Winter, M, Juncheng Wei, Matthias Winter, Wei, J   +3 more
core   +1 more source