The optimal control and its multiple applications
Cristiana J. Silva, Delfim F. M. Torres, Emmanuel Trelat
TL;DR
This paper reviews the history and applications of optimal control theory, emphasizing the Pontryagin maximum principle and its connections to various mathematical fields.
Contribution
It provides a comprehensive overview of the development and applications of optimal control theory, highlighting its historical evolution and key principles.
Findings
Historical development of optimal control theory
Emphasis on Pontryagin maximum principle
Connections with other mathematical areas
Abstract
In this work we refer to motivations, applications, and relations of control theory with other areas of mathematics. We present a brief historical review of optimal control theory, from its roots in the calculus of variations and the classical theory of control to the present time, giving particular emphasis to the Pontryagin maximum principle.
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Taxonomy
TopicsControl and Dynamics of Mobile Robots · Control and Stability of Dynamical Systems · Spacecraft Dynamics and Control