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 note, we propose a method to under-approximate finite-time reachablesets and tubes for a class of continuous-time linear uncertain systems. Theclass under consideration is the linear time-varying (LTV) class withintegrable time-varying system matrices and uncertain initial and input valuesbelonging to known convex compact sets. The proposed method depends upon theiterative use of constant-input reachable sets which results in convergentunder-approximations in the sense of Hausdorff distance. We illustrate ourapproach through two numerical examples.

Convergent Under-Approximations of Reachable Sets and Tubes for Linear Uncertain Systems