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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper considers the stabilisation of high-order nonlinear stochastic delayed coupled systems with Markovian switching (HNSMS) by periodically intermittent control (PIC). Notably, the coefficients in HNSMS no longer satisfy the linear growth condition. In the mean time, PIC is first introduced to ensure the stabilisation of HNSMS. Since current Halanay-type differential inequalities (H-type inequalities) are not applicable to high-order nonlinear systems with PIC, a generalised H-type inequality with high-order terms for such systems is established, in which the order of high-order terms can be different. Together with graph theory and Lyapunov method, some sufficient conditions reaching the stability are presented. Then, our results are used to study the stability of modified Van der Pol–Duffing oscillators with Markovian switching. Ultimately, the effectiveness of theoretical results is checked by a numerical test.

Stabilisation of stochastic hybrid high-order nonlinear coupled systems by intermittent control