Abstract
This paper discusses the null boundary controllability of two PDE’s, modeling a composite solid with different physical properties in each layer. Interface conditions are imposed.
Similar content being viewed by others
References
W. Littman and S. Taylor, The Heat and Schrödinger Equation Boundary Control with One Shot, Control Methods in PDE-Dynamical Systems, Contemporary Math. AMS, Providence, RI, 2007, 426: 299–305.
W. Littman and S. Taylor, The Balayage method: Boundary control of a Thermo-Elastic plate, Applicationes Math., 2008, 35(4): 467–479.
W. Littman, Boundary control theory for beams and plates, Proceedings of 24th Conference on Decision and Control, Ft. Lauderdale, FL, 1985, 2007–2009.
X. Zhang and E. Zuazua, Polynomial decay and control of a 1-d hyperbolic-parabolic coupled system, Journal of Diff. Eq., 2004, 204: 380–438.
E. Zuazua, Null control of a 1-d model of mixed hyperbolic-parabolic type, Ed. by J. L. Menaldi, et al., Optimal Control and PDE, IOS Press, Amsterdam, 2001.
L. Hörmander, Linear Partial Differential Operators, Academic Press, New York, 1963.
S. Taylor, Gevrey smoothing properties of the Schrödinger evolution group in weighted Sobolev spaces, Journal of Math. Anal. and Appl. 1985, 194: 14–38.
W. Littman and S. Taylor, Smoothing evolution equations and boundary controllability, Journal d’Analyse. Mathématique, 1992, 59: 117–131.
A. Pazy, Semigroups of linear operators and applications to partial differential equations, Appl. Math. Sci., Springer, New York, 1983, 44.
Author information
Authors and Affiliations
Corresponding author
Additional information
This research is supported by Italian MIUR.
Rights and permissions
About this article
Cite this article
Arena, O., Littman, W. Boundary control of two PDE’s separated by interface conditions. J Syst Sci Complex 23, 431–437 (2010). https://doi.org/10.1007/s11424-010-0138-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11424-010-0138-7