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Lie theory and control systems defined on spheres
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Brockett, R. W. |
| Copyright Year | 1972 |
| Description | It is shown that in constructing a theory for the most elementary class of control problems defined on spheres, some results from the Lie theory play a natural role. To understand controllability, optimal control, and certain properties of stochastic equations, Lie theoretic ideas are needed. The framework considered here is the most natural departure from the usual linear system/vector space problems which have dominated control systems literature. For this reason results are compared with those previously available for the finite dimensional vector space case. |
| File Size | 983902 |
| Page Count | 14 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19740013109 |
| Archival Resource Key | ark:/13960/t9673706g |
| Language | English |
| Publisher Date | 1972-01-01 |
| Access Restriction | Open |
| Subject Keyword | Linear Systems Theorem Proving Stochastic Processes Optimal Control Differential Equations Lie Groups Control Theory Spheres Vector Spaces 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 |
