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Tautological Control SystemsPresheaves and Sheaves of Sets of Vector Fields

Tautological Control Systems: Presheaves and Sheaves of Sets of Vector Fields [We choose to phrase our notion of control in the language of sheaf theory which we believe has the following benefits: it permits natural formulations of problems lacking a natural formulation in “ordinary” control theory; sheaves are the proper framework for constructing germs of control systems which are often important in the study of local system structure; and sheaf theory provides a natural class of mappings between systems of which we take advantage.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Tautological Control SystemsPresheaves and Sheaves of Sets of Vector Fields

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2014
ISBN
978-3-319-08637-8
Pages
49 –61
DOI
10.1007/978-3-319-08638-5_4
Publisher site
See Chapter on Publisher Site

Abstract

[We choose to phrase our notion of control in the language of sheaf theory which we believe has the following benefits: it permits natural formulations of problems lacking a natural formulation in “ordinary” control theory; sheaves are the proper framework for constructing germs of control systems which are often important in the study of local system structure; and sheaf theory provides a natural class of mappings between systems of which we take advantage.]

Published: Jul 23, 2014

Keywords: Sheaf theory; étalé topology; Stalk topology

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