AFUNDAMENTAL problem in the theory of systems and control is the mathematical
modeling of a physical system. The realistic representationof many systems calls for high …

A basic problem in the control system theory is the mathematical modeling of a physical
system. The modeling of many systems calls for high-order dynamic equations. The …

Many realistic engineering systems are large in dimension and stiff for computation. Their
analysis and control require extensive numerical algorithms. The methodology of singular …

In this article, we study the problem of determining an appropriate grading of meshes for a
system of coupled singularly perturbed reaction–diffusion problems having diffusion …

The dynamics of many control systems is described by higher order differential equations.
However, the behaviour is governed by a few dominant parameters, a relatively minor role …

In this paper, the regulation problem of a class of nonlinear singularly perturbed discrete-
time systems is investigated. Using the theory of singular perturbations and time scales, the …

This note studies a class of discrete-time nonlinear systems which depend on a small
parameter. Using the singular perturbation theory in a systematic way, we give a trajectory …

This paper presents the results of applying the methodology of singular perturbations and
time scales (SPATS) to the control of digital flight systems. A block-diagonalization method is …

A two-stage observer-based controller design of discrete two-time-scale (DTTS) systems is
presented in this paper. The necessary and sufficient conditions for this kind of controlled …

We consider a boundary value problem for a linear difference equation with several widely
different coefficients. We study the existence and uniqueness of its solution and we give …