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Convergence of galerkin approximations for operator riccati equations: a nonlinear evolution equation approach
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Rosen, I. G. |
| Copyright Year | 1988 |
| Description | An approximation and convergence theory was developed for Galerkin approximations to infinite dimensional operator Riccati differential equations formulated in the space of Hilbert-Schmidt operators on a separable Hilbert space. The Riccati equation was treated as a nonlinear evolution equation with dynamics described by a nonlinear monotone perturbation of a strongly coercive linear operator. A generic approximation result was proven for quasi-autonomous nonlinear evolution system involving accretive operators which was then used to demonstrate the Hilbert-Schmidt norm convergence of Galerkin approximations to the solution of the Riccati equation. The application of the results was illustrated in the context of a linear quadratic optimal control problem for a one dimensional heat equation. |
| File Size | 1277214 |
| Page Count | 30 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19880021002 |
| Archival Resource Key | ark:/13960/t0ns5nf5m |
| Language | English |
| Publisher Date | 1988-08-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Perturbation Theory Thermodynamics Nonlinear Equations Approximation Differential Equations Hilbert Space Galerkin Method Riccati Equation Linear Operators 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 |
