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

Controlling complex dynamical systems has been a topic of considerableinterest in academic circles in recent decades. While existing works haveprimarily focused on closed-loop control schemes with infinite-time durations,this paper introduces a novel finite-time, closed-loop stochastic controllerthat pays special attention to control time and energy and their dependence onsystem parameters. This technique of stochastic control not only enablesfinite-time control in chaotic dynamical systems but also facilitatesfinite-time synchronization in unidirectionally coupled systems. Notably, ournew scheme offers several advantages over existing deterministic finite-timecontrollers from a physical standpoint of time and energy consumption. Usingnumerical experiments based on random ecosystems, neural networks, and Lorenzsystems, we demonstrate the effectiveness of our analytical results. It isanticipated that this proposed stochastic scheme will have widespreadapplicability in controlling complex dynamical systems and achieving networksynchronization.

Finite-time stochastic control for complex dynamical systems: The estimate for control time and energy consumption