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Dynamic programming for impulse controls |
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| Authors: | AB Kurzhanski [Author Vitae] AN Daryin [Author Vitae] |
| Affiliation: | Moscow State (Lomonosov) University, Faculty of Computational Mathematics and Cybernetics, Russia |
| Abstract: | This paper describes the theory of feedback control in the class of inputs which allow delta-functions and their derivatives. It indicates a modification of dynamic programming techniques appropriate for such problems. Introduced are physically realizable bang-bang-type approximations of the “ideal” impulse-type solutions. These may also serve as “fast” feedback controls which solve the terminal control problem in arbitrary small time. Examples of damping high-order oscillations in finite time are presented. |
| Keywords: | Closed-loop impulse control Feedback strategy Dynamic programming Variational inequality Generalized controls High-order impulses Nonlinear analysis Bang-bang control Fast controls Oscillating systems Finite time |
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