Preview
Unable to display preview. Download preview PDF.
References
Banks, H.T. and Kunisch, K.: The linear regulator problem for parabolic systems, SIAM J. on Control Vol. 22, No. 5 (1984), 684–699.
Chang, S. and Lasiecka, I.: Riccati equation for nonsymmetric and nondissipative hyperbolic systems with L2-boundary controls, to appear in Journal of Math. Analysis and Applications.
Desch, W., Lasiecka, I. and Schappacher, W.: Feedback boundary control problems for linear semigroups, to appear in Israel J. of Mathematics.
Desch, W. and Schappacher, W.: On relatively bounded perturbations of linear C0-semigroups, Annali Scoula Normale Sup. Pisa 11 (1984), 327–341.
Gibson, J.S.: The Riccati integral equations for optimal control problems on Hilbert spaces, SIAM J. on Control, Vol. 17, No. 4 (1979), 537–565.
Kappel, F. and Salamon, D.: Spline approximation for retarded systems and the Riccati equation, MRC Technical Report #2680, 1984.
Lasiecka, I. and Triggiani, R.: Dirichlet boundary control problems for parabolic equations with quadratic cost: analyticity and Riccati's feedback synthesis, SIAM J. on Control, Vol. 21, No. 1 (1984), 41–67.
Lasiecka, I. and Triggiani, R.: Finite rank, relatively bounded perturbations of C0-semigroup generators; Part I: Well posedness and boundary feedback hyperbolic dynamics, to appear in Annali Scuola Normale Superiore di Pisa.
Rauch, J.: L2 is continuable initial condition for Kreiss' mixed problem, Comm. Pure Appl. Math., 25 (1972), 265–285.
Triggiani, R.: AÉ›-bounded finite rank perturbations of s.c.-group generators A; counter example to generation and to another condition for well-posedness, in "Infinite Dimensional Systems" F. Kappel and W. Schappacher, eds., Springer Lecture Notes 1076 (1984).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Lasiecka, I. (1985). Approximations of Riccati equations corresponding to hyperbolic boundary control problems. In: Kappel, F., Kunisch, K., Schappacher, W. (eds) Distributed Parameter Systems. Lecture Notes in Control and Information Sciences, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005655
Download citation
DOI: https://doi.org/10.1007/BFb0005655
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15872-1
Online ISBN: 978-3-540-39661-1
eBook Packages: Springer Book Archive