A major problem in control engineering is robust feedback design that stabilizes a nominal
plant while also attenuating the influence of parameter variations and external disturbances …

Exponential stability analysis via Lyapunov method is extended to the one-dimensional heat
and wave equations with time-varying delay in the boundary conditions. The delay function …

In this work, we successfully extended two-dimensional differential transform method and
their reduced form, by presenting and proving some theorems, to obtain the solution of …

We consider abstract second order evolution equations with unbounded feedback with time-
varying delay. Existence results are obtained under some realistic assumptions. We prove …

This paper deals with the stability of Runge–Kutta methods for a class of stiff systems of
nonlinear Volterra delay‐integro‐differential equations. Two classes of methods are …

The E1-disturbance-attenuation approach to robust control has been an active research
area since the 80th of the last century. If confined to linear systems, this approach is fully …

In this short study, we investigate the long time stability of the compact finite difference
method for the reaction–diffusion equations with delay. It is shown that the spatial …

In this article, a new linearized compact multisplitting scheme is constructed to solve the
nonlinear delay convection–reaction–diffusion equations. Firstly, the equations are …

A linearized quasi-compact finite difference scheme is proposed for semilinear space-
fractional diffusion equations with a fixed time delay. The nonlinear source term is …

In this paper, a discontinuous Galerkin (DG) time stepping method combined with the
standard finite element method in space is proposed to solve a class of semilinear parabolic …