A priori results in linear-quadratic optimal control theory
Kybernetika, Tome 27 (1991) no. 5, pp. 446-457 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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     title = {A priori results in linear-quadratic optimal control theory},
     journal = {Kybernetika},
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     url = {http://geodesic.mathdoc.fr/item/KYB_1991_27_5_a6/}
}
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Geerts, Ton. A priori results in linear-quadratic optimal control theory. Kybernetika, Tome 27 (1991) no. 5, pp. 446-457. http://geodesic.mathdoc.fr/item/KYB_1991_27_5_a6/

[1] R. W. Brockett: Finite Dimensional Linear Systems. J. Wiley, New York 1970. | Zbl

[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

[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.

[4] Ton Geerts: Structure of Linear-Quadratic Control. Ph. D. Thesis, Eindhoven University of Technology, Eindhoven 1989. | MR

[5] M. L. J. Hautus, L. M. Silverman: System structure and singular control. Linear Algebra Appl. 50 (1983), 369-402. | MR | Zbl

[6] B. P. Molinari: Nonnegativity of a quadratic functional. SIAM J. Control Optim. 13 (1975), 792-806. | MR

[7] B. P. Molinari: The time-invariant linear-quadratic optimal control problem. Automatica 13 (1977), 347-357. | Zbl

[8] J.M. Schumacher: The role of the dissipation matrix in singular optimal control. Systems Control Lett. 2 (1983), 262-266. | MR | Zbl

[9] J. C. Willems: Least squares stationary optimal control and the algebraic Riccati equation. IEEE Trans. Automat. Control AC-16 (1971), 621 - 634. | MR

[10] W. M. Wonham: Linear Multivariable Control: A Geometric Approach. Springer-Verlag, New York-Berlin-Heidelberg 1979. | MR | Zbl