The Autonomous linear quadratic control problem : theory and numerical solution
A survey is given on the state of the art in theory and numerical solution of general autonomous linear quadratic optimal control problems (continuous and discrete) with differential algebraic equation constraints. It incorporates the newest developments on differential algebraic equations, Riccati...
Spremljeno u:
| Daljnji autori: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serija: | Lecture notes in control and information sciences
163 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Autonomous linear quadratic control problem, theory and numerical solution, V.L. Mehrmann (ed.), Berlin, Springer-Verlag, 1991, 176 p., Lecture notes in control and information sciences, 0-387-54170-5 • The Autonomous Linear Quadratic Control Problem, Texte imprimé, 9783662185810 |
Sadržaj:
- Notation and definitions
- Existence of solutions
- Eigenstructure of ?A - ?B, ?A? - ?B?
- Uniqueness and stability of feedback solutions
- Algebraic Riccati equations and deflating subspaces
- Schur-forms, Hessenberg-forms and triangular decompositions
- Perturbation analysis
- Numerical preprocessing
- Defect correction
- Newton's method
- The sign function method
- Elementary transformation matrices
- Schur methods
- Unitary symplectic algorithms for special Hamiltonian or symplectic eigenvalue problems
- Nonunitary algorithms for real Hamiltonian or real symplectic eigenvalue problems
- Closed loop algorithms
- A combination algorithm for real Hamiltonian and symplectic eigenvalue problems
- Numerical algorithms for Riccati differential or difference equations
- A general algorithm
- Conclusion
- Statement
- References.