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

The turnpike property refers to the phenomenon that in many optimal controlproblems, the solutions for different initial conditions and varying horizonsapproach a neighborhood of a specific steady state, then stay in thisneighborhood for the major part of the time horizon, until they may finallydepart. While early observations of the phenomenon can be traced back to worksof Ramsey and von Neumann on problems in economics in 1928 and 1938, theturnpike property received continuous interest in economics since the 1960s andrecent interest in systems and control. The present chapter provides anintroductory overview of discrete-time and continuous-time results in finiteand infinite-dimensions. We comment on dissipativity-based approaches andinfinite-horizon results, which enable the exploitation of turnpike propertiesfor the numerical solution of problems with long and infinite horizons. Afterdrawing upon numerical examples, the chapter concludes with an outlook ontime-varying, discounted, and open problems.

Turnpike Properties in Optimal Control: An Overview of Discrete-Time and Continuous-Time Results