| Title:
|
Free end-point linear-quadratic control subject to implicit continuous- time systems: Necessary and sufficient conditions for solvability (English) |
| Author:
|
Geerts, Ton |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
5 |
| Year:
|
1993 |
| Pages:
|
431-438 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49K30 |
| MSC:
|
49N10 |
| MSC:
|
93C15 |
| MSC:
|
93C35 |
| MSC:
|
93D99 |
| idZBL:
|
Zbl 0807.93033 |
| idMR:
|
MR1264876 |
| . |
| Date available:
|
2009-09-24T18:42:26Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124543 |
| . |
| Reference:
|
[1] D. J. Bender, A. J. Laub: The linear-quadratic optimal regulator for descriptor systems.IEEE Trans. Automat. Control AC-32 (1987), 672-688. Zbl 0624.93030, MR 0896834 |
| Reference:
|
[2] D. Cobb: Descriptor variable systems and optimal state regulation.IEEE Trans. Automat. Control AC-28 (19S3), 601-611. MR 0712957 |
| Reference:
|
[3] A. H. W. Geerts, M. L. J. Hautus: The output-stabilizable subspace and linear optimal control.In: Robust Control of Linear Systems and Nonlinear Control, Progress in Systems and Control Theory, Vol. 4, Birkhauser, Boston 1990, pp. 113-120. Zbl 0735.93061, MR 1115381 |
| Reference:
|
[4] T. Geerts: A necessary and sufficient condition for solvability of the linear-quadratic control problem without stability.Systems Control Lett. 11 (1988), 47-51. Zbl 0644.49018, MR 0949889 |
| Reference:
|
[5] T. Geerts: All optimal controls for the singular linear-quadratic problem without stability; a new interpretation of the optimal cost.Linear Algebra Appl. 116 (1989), 135-181. Zbl 0674.49001, MR 0989722 |
| Reference:
|
[6] T. Geerts: Solvability conditions, consistency and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case.Linear Algebra Appl. 181 (1993), 111-130. Zbl 0772.34002, MR 1204345 |
| Reference:
|
[7] T. Geerts: Invariant subspaces and invertibility properties for singular systems: The general case.Linear Algebra Appl. 183 (1993), 61-88. Zbl 0774.93038, MR 1208197 |
| Reference:
|
[8] T. Geerts: Regularity and singularity in linear-quadratic control subject to implicit continuous-time systems.Circuits, Systems Signal Process., to appear. Zbl 0809.93030, MR 1247789 |
| Reference:
|
[9] M. L. J. Hautus: The formal Laplace transform for smooth linear systems.(Lecture Notes in Economics and Mathematical Systems 131.) Springer-Verlag, Berlin 1976, pp. 29-46. Zbl 0345.93022, MR 0682787 |
| Reference:
|
[10] 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:
|
[11] L. Schwartz: Theorie des Distributions.Hermann, Paris 1978. Zbl 0399.46028, MR 0209834 |
| Reference:
|
[12] G. C. Verghese B.C. Levy, T. Kailath: A generalized state-space for singular systems.IEEE Trans. Automat. Control AC-26 (1981), 811-831. MR 0635842 |
| Reference:
|
[13] J. C. Willems A. Kitapci, L.M. Silverman: Singular optimal control: A geometric approach.SIAM J. Control Optim. 24 (1986), 323-337. MR 0826519 |
| . |
