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Titlebook: Geometric Methods in System Theory; Proceedings of the N D. Q. Mayne,R. W. Brockett Conference proceedings 1973 Springer Science+Business M

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书目名称Geometric Methods in System Theory
副标题Proceedings of the N
编辑D. Q. Mayne,R. W. Brockett
视频video
丛书名称Nato Science Series C:
图书封面Titlebook: Geometric Methods in System Theory; Proceedings of the N D. Q. Mayne,R. W. Brockett Conference proceedings 1973 Springer Science+Business M
描述Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x‘Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x‘x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector space-linear theory often gives the wrong insight and thus should not be relied upon.
出版日期Conference proceedings 1973
关键词Nonlinear system; dynamische Systeme; geometry; optimal control; system; systems theory
版次1
doihttps://doi.org/10.1007/978-94-010-2675-8
isbn_softcover978-94-010-2677-2
isbn_ebook978-94-010-2675-8Series ISSN 1389-2185
issn_series 1389-2185
copyrightSpringer Science+Business Media Dordrecht 1973
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On Necessary and Sufficient Conditions for Local Controllability Along a Reference Trajectory,ous function taking values in a given set U having nonempty interior in R. . Denote by a(t,q) the set of all points attainable at time t by solutions of (1) corresponding to admissible controls and initiating from q at time 0 . Let u* be a given control which generates a reference trajectory φ with
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