[1] D. J. Bender, A. J. Laub:
The linear-quadratic optimal regulator for descriptor systems. IEEE Trans. Automat. Control AC-32 (1987), 672-688.
MR 0896834 |
Zbl 0624.93030
[2] D. Cobb:
Descriptor variable systems and optimal state regulation. IEEE Trans. Automat. Control AC-28 (19S3), 601-611.
MR 0712957
[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.
MR 1115381 |
Zbl 0735.93061
[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.
MR 0949889 |
Zbl 0644.49018
[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.
MR 0989722 |
Zbl 0674.49001
[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.
MR 1204345 |
Zbl 0772.34002
[7] T. Geerts:
Invariant subspaces and invertibility properties for singular systems: The general case. Linear Algebra Appl. 183 (1993), 61-88.
MR 1208197 |
Zbl 0774.93038
[8] T. Geerts:
Regularity and singularity in linear-quadratic control subject to implicit continuous-time systems. Circuits, Systems Signal Process., to appear.
MR 1247789 |
Zbl 0809.93030
[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.
MR 0682787 |
Zbl 0345.93022
[10] M. L. J. Hautus, L. M. Silverman:
System structure and singular control. Linear Algebra Appl. 50 (1983), 369-402.
MR 0699568 |
Zbl 0522.93021
[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
[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