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 article, the optimal control problem for a harmonic oscillator withan inequality constraint is considered. The applied energy of the oscillatorduring a fixed final time period is used as the performance criterion. Theanalytical solution with both small and large terminal time is found for aspecial case when the undriven oscillator system is initially at rest. Forother initial states of the Harmonic oscillator, the optimal solution is foundto have three modes: wait-move, move-wait, and move-wait-move given a longerterminal time.

Energy Optimal Control of a Harmonic Oscillator with a State Inequality Constraint