The article contains a survey of publications studying problems characterized by the
presence of fast variables with various rates of change (time scales). We consider the …

For a class of discrete weakly nonlinear state-dependent coefficient (SDC) control systems,
a suboptimal synthesis is constructed over a finite interval with a large number of steps. A …

Статья содержит обзор публикаций, в которых исследуются задачи,
характеризующиеся наличием быстрых переменных с различными скоростями …

The article examines a feedback linearization (FL) problem for a nonlinear singular
perturbed (SP) system in a state-dependent coefficients form (SDC-form). The combination …

An approach to the construction of state controllers for nonlinear control systems with a
parameter represented in a pseudo-linear form based on the Padé approximations of the …

The article is devoted to study of controllability properties of a linear singularly perturbed
discrete system with a small step. It is used the Gram operator, which transforms an infinite …

We consider a linear‐quadratic optimal control problem where the second power of a small
parameter stands in front of the derivative and a control in a state equation and in front of a …

Using the so-called direct scheme method, an asymptotic expansion of n-th order to the
solution of a class of singularly perturbed linear-quadratic optimal problem with integral …

This paper proposes an input‐based event‐triggered mechanism for a network‐controlled
discrete‐time singularly perturbed system, where the latest measurements are transmitted …

This paper is concerned with the robust input-to-state stability (ISS) analysis and control of
discrete-time singularly perturbed systems (DTSPSs) with nonlinear perturbations. A proper …