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 …

The nonlinear optimal control problems described by singularly perturbed models are
studied in order to obtain the ways of decomposition and to construct the suboptimal control …

This paper discusses typical applications of singular perturbation techniques to control
problems in the last fifteen years. The first three sections are devoted to the standard model …

These lecture notes are intended to provide an elementary account of some of the recent
mathematical effort in applying singular perturbations theory to optimal control problems, to …

We shall seek the optimal control and corresponding trajectories for the state regulator
problem dxdt=A_1(t,ε)x+A_2(t,ε)z+B_1(t,ε)u,\hfill\εdzdt=A_3(t,ε)x+A_4(t,ε)z+B_2(t,ε)u\hfill\ on …

Introduction. In the study of the problems of minimizing or maximizing a functionM of a curve
on some assigned class of curves, the symbolism of control theory has shown itself to be …

This monograph is an introduction to optimal control theory for systems governed by vector
ordinary differential equations. It is not intended as a state-of-the-art handbook for …

Singular perturbations in control problems | Automation and Remote Control Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

One presents a survey of the works on the theory of optimal control by deterministic objects,
described by systems of ordinary differential or difference equations, where the investigation …

The main results of part II are contained in Theorem 20.1, 20.2, 21.1, 21.2 respectively. The
statements involve certain definitions and explanations given in Sec. 12-19. We will indicate …