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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Problems of stabilization and determining of stablility characteristics of steady-state regimes are among the central in a control theory. Especial difficulties can be met when dealing with the systems containing nonlinearities which are nonanalytic function of phase. Different models describing nonlinear effects in real control systems (e.g. servomechanisms, such as servo drives, autopilots, stabilizers etc.) are just concern this type, numerous works are devoted to the analysis of problem of stable oscillations presence in such systems. Time delays appear in control systems frequently and are important due to significant impact on them. They affect substantially on stability properties and configuration of steady state solutions. An accurate simultaneous account of nonlinear effects and time delays allows to receive adequate models of real control systems. This work contains some results concerning to a stability problem for periodic solutions of nonlinear controlled system containing time delay. It corresponds further development of an article: Kamachkin & Stepanov (2009). Main results obtained below might generally be put in connection with classical results of V.I. Zubov’s control theory school (see Zubov (1999), Zubov & Zubov (1996)) and based generally on work Zubov & Zubov (1996). Note that all examples presented here are purely illustrative; some examples concerning to similar systems can be found in Petrov & Gordeev (1979), Varigonda & Georgiou (2001).

On Stable Periodic Solutions of One Time Delay System Containing Some Nonideal Relay Nonlinearities