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

This paper investigates and discusses the method of dynamic programming in solving Bolza's cost form of Linear Quadratic Regulator Problems (LQRP). It is the desire of the authors of this paper to experiment numerically the solution of this class of problem using dynamic programming to solve for the optimal controls and the trajectories compared with other numerical methods with a view to further improving the results. The method uses the principle of optimality to reduce mathematically the number of calculations required to determine the optimal control law as well as the corresponding optimal cost functional.

Numerical Experiment with Dynamic Programming in Solving Continuous-Time Linear Quadratic Regulator Problems