Title: Geometric Methods in System Theory: Proceedings of the NATO Advanced Study Institute held at London, England, August 27-September 7, 1973 (Nato Science Series C:)
Publisher: Springer
Publication Date: 2012
Language: English
ISBN 10: 9401026777
ISBN 13: 9789401026772
Binding: Soft cover
Condition: New

About this title

Synopsis

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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