Loading...
Please wait, while we are loading the content...
Similar Documents
Algebraic methods for the solution of some linear matrix equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Mitter, S. K. Djaferis, T. E. |
| Copyright Year | 1979 |
| Description | The characterization of polynomials whose zeros lie in certain algebraic domains (and the unification of the ideas of Hermite and Lyapunov) is the basis for developing finite algorithms for the solution of linear matrix equations. Particular attention is given to equations PA + A'P = Q (the Lyapunov equation) and P - A'PA = Q the (discrete Lyapunov equation). The Lyapunov equation appears in several areas of control theory such as stability theory, optimal control (evaluation of quadratic integrals), stochastic control (evaluation of covariance matrices) and in the solution of the algebraic Riccati equation using Newton's method. |
| File Size | 6555482 |
| Page Count | 34 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19790009442 |
| Archival Resource Key | ark:/13960/t6256dx9g |
| Language | English |
| Publisher Date | 1979-02-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Liapunov Functions Theorems Algebra Commutation Newton Methods Differential Equations Problem Solving Linear Equations Riccati Equation Rings Mathematics Matrices Mathematics 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 |
