Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory
This book provides, in a unified framework, an updated and rather comprehensive treatment contered on the theory of ot- pimal control with quadratic cost functional for abstract linear systems with application to boundary/point control problems for partial differential equations (distributed pa- ram...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991, 1991
|
| Edition: | 1st ed. 1991 |
| Series: | Lecture Notes in Control and Information Sciences
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction: Two abstract classes; statement of main problems
- 2. Abstract differential Riccati equation for the first class subject to the analyticity assumption (H.1)=(1.5)
- 3. Abstract differential Riccati equations for the second class subject to the trace regularity assumption (H.2)=(1.6)
- 4. Abstract differential Riccati equations for the second class subject to the regularity assumptions (H.2R)=(1.8)
- 5. Abstract algebraic Riccati equations: Existence and uniqueness
- 6. Examples of partial differential equation problems satisfying (H.1)
- 7. Examples of partial differential equation problems satisfying (H.2)
- 8. Example of a partial differential equation problem satisfying (H.2R)
- 9. Numerical approximations of the solution to the abstract differential and algebraic Riccati equations
- 10. Examples of numerical approximation for the classes (H.1) and (H.2)
- 11. Conclusions