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Difference equation state approximations for nonlinear hereditary control problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Rosen, I. G. |
| Copyright Year | 1982 |
| Description | Discrete approximation schemes for the solution of nonlinear hereditary control problems are constructed. The methods involve approximation by a sequence of optimal control problems in which the original infinite dimensional state equation has been approximated by a finite dimensional discrete difference equation. Convergence of the state approximations is argued using linear semigroup theory and is then used to demonstrate that solutions to the approximating optimal control problems in some sense approximate solutions to the original control problem. Two schemes, one based upon piecewise constant approximation, and the other involving spline functions are discussed. Numerical results are presented, analyzed and used to compare the schemes to other available approximation methods for the solution of hereditary control problems. |
| File Size | 3720456 |
| Page Count | 53 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19830025318 |
| Archival Resource Key | ark:/13960/t4sj69k5k |
| Language | English |
| Publisher Date | 1982-06-30 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Nonlinear Equations Approximation Difference Equations Optimal Control Group Theory Spline Functions Nonlinear Evolution Equations Hilbert Space Heredity Nonlinear Systems Convergence 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 |
