English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

A new systematic approach to the construction of approximate solutions to aclass of nonlinear singularly perturbed feedback control systems using theboundary layer functions especially with regard to the possible occurrence ofthe boundary layers is proposed. For example, problems with feedback control,such as the steady-states of the thermostats, where the controllers add orremove heat, depending upon the temperature registered in another place of theheated bar, can be interpreted with a second-order ordinary differentialequation subject to a nonlocal three--point boundary condition. The$O(\epsilon)$ accurate approximation of behavior of these nonlinear systems interms of the exponentially small boundary layer functions is given. At the endof this paper, we formulate the unsolved controllability problem for nonlinearsystems.

On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems