Title
An inverse problem for the telegraph equation
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.
Year
DOI
Venue
2003
10.1007/0-387-23467-5_12
International Federation for Information Processing
Keywords
Field
DocType
minmax filtering,telegraph equation,information set,sensors,observability
Applied mathematics,Observability,Telegrapher's equations,Dissipation,Filter (signal processing),Inverse problem,Mathematics,Hyperbolic partial differential equation,Parabola,Bounded function
Conference
Volume
ISSN
Citations 
166
1571-5736
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Alexander B. Kurzhanski120425.02
M. M. Sorokina200.34
AB Kurzhanski300.34