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

In this paper, we present a new method for the dissipativity and stabilityanalysis of a linear coupled differential-difference system (CDDS) with generaldistributed delays at both state and output. More precisely, the distributeddelay terms under consideration can contain any $\fL^{2}$ functions which areapproximated via a class of elementary functions which includes the option ofLegendre polynomials. By using this broader class of functions compared to theexisting Legendre polynomials approximation approach, one can construct aLiapunov-Krasovskii functional which is parameterized by non-polynomialfunctions . Furthermore, a novel generalized integral inequality is alsoproposed to incorporate approximation error in our stability (dissipativity)conditions. Based on the proposed approximation scenario with the proposedintegral inequality, sufficient conditions determining the dissipativity andstability of a CDDS are derived in terms of linear matrix inequalities. Inaddition, several hierarchies in terms of the feasibility of the proposedconditions are derived under certain constraints. Finally, several numericalexamples are presented in this paper to show the effectiveness of our proposedmethodologies.

Dissipative analysis of linear coupled differential-difference systems with distributed delays