| Title:
|
A priori results in linear-quadratic optimal control theory (English) |
| Author:
|
Geerts, Ton |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
27 |
| Issue:
|
5 |
| Year:
|
1991 |
| Pages:
|
446-457 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49N10 |
| idZBL:
|
Zbl 0767.49027 |
| idMR:
|
MR1132607 |
| . |
| Date available:
|
2009-09-24T18:28:01Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125852 |
| . |
| Reference:
|
[1] R. W. Brockett: Finite Dimensional Linear Systems.J. Wiley, New York 1970. Zbl 0216.27401 |
| Reference:
|
[2] Ton Geerts: All optimal controls for the singular linear-quadratic problem without stability: A new interpretation of the optimal cost.Linear Algebra Appl. 116 (1991), 135-181. MR 0989722 |
| Reference:
|
[3] Ton Geerts: The algebraic Riccati equation and singular optimal control.In: Lecture Notes of Workshop on Riccati Eq. in Control Syst. and Sign. (S. Bittanti, ed,), Pitagora Ed., Bologna 1989, pp. 129-135. |
| Reference:
|
[4] Ton Geerts: Structure of Linear-Quadratic Control.Ph. D. Thesis, Eindhoven University of Technology, Eindhoven 1989. MR 1026932 |
| Reference:
|
[5] M. L. J. Hautus, L. M. Silverman: System structure and singular control.Linear Algebra Appl. 50 (1983), 369-402. Zbl 0522.93021, MR 0699568 |
| Reference:
|
[6] B. P. Molinari: Nonnegativity of a quadratic functional.SIAM J. Control Optim. 13 (1975), 792-806. MR 0390875 |
| Reference:
|
[7] B. P. Molinari: The time-invariant linear-quadratic optimal control problem.Automatica 13 (1977), 347-357. Zbl 0359.49001 |
| Reference:
|
[8] J.M. Schumacher: The role of the dissipation matrix in singular optimal control.Systems Control Lett. 2 (1983), 262-266. Zbl 0521.93017, MR 0703853 |
| Reference:
|
[9] J. C. Willems: Least squares stationary optimal control and the algebraic Riccati equation.IEEE Trans. Automat. Control AC-16 (1971), 621 - 634. MR 0308890 |
| Reference:
|
[10] W. M. Wonham: Linear Multivariable Control: A Geometric Approach.Springer-Verlag, New York-Berlin-Heidelberg 1979. Zbl 0424.93001, MR 0569358 |
| . |
