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He is the co-author of Applied Optimal Control, [2] and an influential researcher in differential games, pattern recognition, and discrete event dynamic systems. Ho was elected a member of the National Academy of Engineering in 1987 for pioneering and sustained contributions to applied optimization, control, and systems engineering theory and ...
Optimal control theory is a branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. [1] It has numerous applications in science, engineering and operations research.
Inspired by—but distinct from—the Hamiltonian of classical mechanics, the Hamiltonian of optimal control theory was developed by Lev Pontryagin as part of his maximum principle. [2] Pontryagin proved that a necessary condition for solving the optimal control problem is that the control should be chosen so as to optimize the Hamiltonian. [3]
The PROPT [1] MATLAB Optimal Control Software is a new generation platform for solving applied optimal control (with ODE or DAE formulation) and parameters estimation problems. The platform was developed by MATLAB Programming Contest Winner, Per Rutquist in 2008. The most recent version has support for binary and integer variables as well as an ...
Widely regarded as a milestone in optimal control theory, the significance of the maximum principle lies in the fact that maximizing the Hamiltonian is much easier than the original infinite-dimensional control problem; rather than maximizing over a function space, the problem is converted to a pointwise optimization. [8]
The optimal control solution is unaffected if zero-mean, i.i.d. additive shocks also appear in the state equation, so long as they are uncorrelated with the parameters in the A and B matrices. But if they are so correlated, then the optimal control solution for each period contains an additional additive constant vector.
Book Cybernetics: Or the Control and Communication in the Animal and the Machine. 1948. Dynamic programming: Richard E. Bellman: Fuzzy logic: Lotfi Asker Zadeh: Information theory: Claude Shannon [197] Article: A Mathematical Theory of Communication (1948) Optimal control: Arthur E. Bryson [198] Book: Applied Optimal Control [199] Robust control
In optimal control theory, a control is a variable chosen by the controller or agent to manipulate state variables, similar to an actual control valve. Unlike the state variable, it does not have a predetermined equation of motion . [ 1 ]