Abstract | ||
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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. |
Year | DOI | Venue |
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2008 | 10.1016/j.arcontrol.2008.08.001 | Annual Reviews in Control |
Keywords | Field | DocType |
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 | Dynamic programming,Oscillation,Bang–bang control,Control theory,Approximations of π,Control engineering,Impulse (physics),Mathematics,Variational inequality,Finite time | Journal |
Volume | Issue | ISSN |
32 | 2 | 1367-5788 |
Citations | PageRank | References |
6 | 0.73 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Alexander B. Kurzhanski | 1 | 204 | 25.02 |
A. N. Daryin | 2 | 9 | 1.16 |