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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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General Optimal Control Problem

2016
The necessary optimality conditions in the general problem of optimal control are set out in several stages. Initially, for optimal process we construct a parameter family of “close” varied processes. The requirement for admissibility of varied processes leads to a finite auxiliary problem of nonlinear programming that depends on parameters of ...
Leonid T. Ashchepkov   +3 more
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Multiobjective Optimal Control Problems

1998
From an Ekeland-type variational principle for vector optimization problems we derive an e-minimum principle in the sense of Pontrjagin for suboptimal controls using classical results for differential equations.
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Optimal Control Methods for Fuzzy Optimal Control Problem

2023 International Conference on Advanced Mechatronics, Intelligent Manufacture and Industrial Automation (ICAMIMIA), 2023
Annisa R. Soemarsono   +2 more
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