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This book was written as a textbook on one of the effective asymptotic methods in the theory
of singular perturbations, the boundary function method. Singularly perturbed equations are …

Clearly, the order reduction may lead to an essential simplification of the original model. On
the other hand, differential equa-tions containing small parameters in the derivative …

A finite-horizon H∞ state-feedback control problem for singularly-perturbed linear time-
dependent systems with a small state delay is considered. Two approaches to 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 …

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 …

1 Introduction Page 1 Dynamics of Continuous, Discrete and Impulsive Systems Series B:
Applications & Algorithms 24 (2017) 335-370 Copyright c 2017 Watam Press DISCRETE …

The Hamiltonian boundary-value problem, associated with a singularly-perturbed linear-
quadratic optimal control problem with delay in the state variables, is considered. A formal …

The methods of perturbations occupy a significant place in the contemporary investigations
in the theory of extremal problems, differential equations, differential games, in the …

Sufficient conditions for the exponential stability and stabilisability of linear singularly
perturbed control systems with the small parameter defined on homogeneous time scale are …