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

New methods are developed for the stabilization of a linear system withgeneral time-varying distributed delays existing at the system's states, inputsand outputs. In contrast to most existing literature where the function oftime-varying delay is continuous and bounded, we assume it to be bounded andmeasurable. Furthermore, the distributed delay kernels can be anysquare-integrable function over a bounded interval, where the kernels arehandled directly by using a decomposition scenario without usingapproximations. By constructing a Krasovski\u{i} functional via the applicationof a novel integral inequality, sufficient conditions for the existence of adissipative state feedback controller are derived in terms of matrixinequalities without utilizing the existing reciprocally convex combinationlemmas. The proposed synthesis (stability) conditions, which take dissipativityinto account, can be either solved directly by a standard numerical solver ofsemidefinite programming if they are convex, or reshaped into linear matrixinequalities, or solved via a proposed iterative algorithm. To the best of ourknowledge, no existing methods can handle the synthesis problem investigated inthis paper. Finally, numerical examples are presented to demonstrate theeffectiveness of the proposed methodologies.

Dissipative Stabilization of Linear Systems with Time-Varying General Distributed Delays (Complete Version)