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References:
[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
[11] L. Schwartz: Theorie des Distributions. Hermann, Paris 1978. MR 0209834 | Zbl 0399.46028
[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
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