ENGLISH

Geometric Methods in System Theory: Proceedings of the NATO Advanced Study Institute held at London, England, August 27-September 7, 1973

By C. Lobry (auth.) , D. Q. Mayne , R. W. Brockett (eds.)

Book information

Publisher
Springer Netherlands
Year
1973
ISBN
978-94-010-2677-2, 978-94-010-2675-8
DOI
10.1007/978-94-010-2675-8
Language
english
Format
PDF
Filesize
10 MB (10484605 bytes)
Series
NATO Advanced Study Institutes Series 3
Edition
1
Pages
314\321
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Control; Algebraic GeometrySystems Theory

Description

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.

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