Abstract
This paper deals with the problem of state estimation for a hyperbolic equation in the presence of unknown, but bounded disturbances, on the basis of information from sensors with finite-dimensional outputs. The object of investigation is the hyperbolic telegraph equation with energy dissipation. Observability properties similar to those introduced earlier for parabolic systems ([8]) are checked for various types of measurement sensors. Further on recurrent guaranteed minmax filtering procedures are introduced which give dynamic estimates of the current state of the system and dual control problems are indicated as well.
Funding provided by A.M. Liapunov French-Russian Institute, Project 02-01 and Russian Foundation for Basic Research (RFBR) grant N 03-01-00663.
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Kurzhanski, A.B., Sorokina, M.M. (2005). An Inverse Problem for the Telegraph Equation. In: Cagnol, J., Zolésio, JP. (eds) System Modeling and Optimization. CSMO 2003. IFIP International Federation for Information Processing, vol 166. Springer, Boston, MA. https://doi.org/10.1007/0-387-23467-5_12
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DOI: https://doi.org/10.1007/0-387-23467-5_12
Publisher Name: Springer, Boston, MA
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