Abstract
The problem of the reconstruction of the initial condition and forcing term in a parabolic equation from measurements of the final-time value is reduced to two different L-Q-R problems, solved by means of the corresponding Riccati equations.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Curtain R.F., Pritchard A.J., Infinite Dimensional Linear Systems Theory, L. N. Cont. &Info. Sc., Vol.8, Springer-Verlag, 1978.
CPU Flandoli P., “Dynamic programming approach to the optimal control of systems governed by non well posed Cauchy problems in Hilbert spaces”, Boll. U.H.I. (6) 5-B (1986), 177–195.
Flandoli P., “On the optimal control of non well posed systems with boundary control”, L. N. Contr. Info. Sc. 75, Springer-Verlag 1985, 179–190.
Lions J. L., Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York 1971.
Pazy A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York 1983.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Flandoli, F. (1991). L-Q-R Approach to a Class of Non Well Posed Parabolic Systems. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_34
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0439-8_34
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
eBook Packages: Springer Book Archive