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Global differential geometry: an introduction for control engineers
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Martin, C. F. Doolin, B. F. |
| Copyright Year | 1982 |
| Description | The basic concepts and terminology of modern global differential geometry are discussed as an introduction to the Lie theory of differential equations and to the role of Grassmannians in control systems analysis. To reach these topics, the fundamental notions of manifolds, tangent spaces, vector fields, and Lie algebras are discussed and exemplified. An appendix reviews such concepts needed for vector calculus as open and closed sets, compactness, continuity, and derivative. Although the content is mathematical, this is not a mathematical treatise but rather a text for engineers to understand geometric and nonlinear control. |
| File Size | 5363631 |
| Page Count | 71 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19820022028 |
| Archival Resource Key | ark:/13960/t4vj0cd22 |
| Language | English |
| Publisher Date | 1982-06-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical And Computer Sciences (general) Set Theory Control Theory Vector Spaces Nonlinear Systems Differential Geometry Lie Groups Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
