# optimal control theory

Also found in: Acronyms.

## optimal control theory

[′äp·tə·məl kən′trōl ‚thē·ə·rē]
(control systems)
An extension of the calculus of variations for dynamic systems with one independent variable, usually time, in which control (input) variables are determined to maximize (or minimize) some measure of the performance (output) of a system while satisfying specified constraints.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
According to the linear quadratic optimal control theory, the optimal solution of K is unique for a fully controllable discrete linear time invariant system and the formula of optimal solution is Equation 21.
For the analysis, the study will apply optimal control theory together with Pontryagin's Maximum Principle in solving the objective function with the aim of establishing the optimal treatment strategy.
Kirk, Optimal Control Theory: An Introduction, Dover Publications, 2004.
In this paper, an modified SITR model for the transmission of optimal control theory to a mathematical model of alcohol abuse with education campaign and therapeutic treatment was proposed and analyzed.
Therefore, an actual and important task is the development of the optimal control theory for the DPSs described by equations with original boundary conditions.
4) Optimal control theory can applied to various fields like Economics Engineering and Biological-systems.
Crucially, if real world inflation expectations rise in line with actual inflation, textbook optimal control theory would be of little use to the central bank, because the theory simply assumes away the problem that inflation expectations might rise in tandem with actual inflation.
In 2000, by employing the framework of multiobjective optimization and an embedding technique, Li and Ng  firstly derive the exact mean-variance efficient frontier in multiperiod investment; Zhou and Li  used the embedding technique and linear-quadratic (LQ) optimal control theory to solve the continuous-time mean-variance problem with stocks price described by geometric Brownian motion (GBM).
Wang, H2 and Hot Optimal Control Theory, Harbin Institute of Technology Press, Harbin, China, 2001.
In a sequel to Berkovitz' 1974 Optimal Control Theory, Berkovitz (Purdue U.) and Medhin (North Carolina State U) explore the Pontryagin principle, Bellman's dynamic programming method, and theorems about the existence of optimal controls.
This 283 pagemonograph is the combined result of two seminal research projects and focuses upon relevant geometric optimal control theory applied to control engineering.
OPTIMAL CONTROL THEORY WITH AEROSPACE APPLICATIONS.

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