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Conversion of optimal control problems into parameter optimization problems

Guidance, Navigation, and Control Conference, 1996
Summary: Several methods exist for converting optimal control problems into parameter optimization problems, and they are categorized by the unknowns of the parameter optimization problem, the numerical integration technique, and the order of the integration technique.
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Optimal Control Problems

1984
This book is mainly concerned with static optimization problems and mathematical programming problems. Only a few sections of Chapter IX (Tangent methods), and Chapter XI (Dynamic economic models) were concerned with dynamic control problems.
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Discretization of Optimal Control Problems

2011
Solutions to optimization problems with pde constraints inherit special properties; the associated state solves the pde which in the optimization problem takes the role of a equality constraint, and this state together with the associated control solves an optimization problem, i.e., together with multipliers satisfies first- and second-order necessary
Hinze, Michael, Rösch, Arnd
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Optimal obstacle control problem

Applied Mathematics and Mechanics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Li, Li, Xiu-Hua, Guo, Xing-Ming
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Optimal control problems

1991
Abstract All vehicles require controls if they are to function in a desired manner. These controls may, for example, steer the vehicle, accelerate it, or stop it. We can therefore think of the vehicle in two parts: the engine, body, and seats, and the controls: accelerator, brake and steering wheel.
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Perturbed optimal control problems

IEEE Transactions on Automatic Control, 1986
A family of problems is obtained by perturbing infinite-dimensionally the dynamics of an optimal control problem. A formula is derived for the generalized gradient of the associated value function, one which specializes to yield, for instance, information about ordinary directional derivatives. Several examples are discussed.
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Continuous Optimal Control Problems

1994
Optimal control theory has been extensively used in solving many engineering problems, such as in mechanical engineering and aeronautics engineering. Its application in transportation engineering has been limited to traffic signal control on surface streets and ramp metering control on freeways.
Bin Ran, David E. Boyce
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Stochastic Optimal Control Problems

1999
Uncertainty is inherent in most real-world systems. It places many disadvantages (and sometimes, surprisingly, advantages) on humankind’s efforts, which are usually associated with the quest for optimal results. The systems mainly studied in this book are dynamic, namely, they evolve over time.
Jiongmin Yong, Xun Yu Zhou
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Nonconvex Optimal Control Problems

IFAC Proceedings Volumes, 1997
Abstract We present a short survey of some recent author’s results concerning the method for solution of a class of global minimization problems. They may be nonconvex in general. The case of minimizing a quadratic functional in a Hilbert space subject to quadratic constraints is considered specially.
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Nonlinear Optimal Control Problems

1988
In the preceding presentation, the peculiarity of dynamic systems subject to optimization was not fully exhibited. In fact, perturbation theory was used only for investigating the algebraic equations that explicitly determine optimal or suboptimal control laws.
A. A. Pervozvanskii, V. G. Gaitsgori
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