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optimal control theory an introduction

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5 min read · Apr 28, 2026

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This paper aims to give a brief introduction to the optimal control theory and attempts to derive some of the central results of the subject, in-cluding the Hamilton-Jacobi-Bellman PDE and the Pontryagin …

Optimal control law: (Cont.) definition for discrete linear regulator systems for linear tracking systems for minimum-fuel control of first-order plant for minimum-time control: double integrator plant second …

Jun 30, 1972 · Optimal control theory: An introduction Published in: IEEE Transactions on Automatic Control ( Volume: 17 , Issue: 3 , June 1972 )

Optimal control theory is a powerful tool in mathematical optimization that allows us to find control functions that optimize the trajectory of a PDE with respect to some payoff function.

Jan 1, 2004 · Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for...

In this section we give an introduction to the theory of Optimal Control. Optimal Con-trol can be seen as a generalization of the Classical Calculus of Variations