TY  - BOOK
AU  - Knopov,Pavel S.
AU  - Deriyeva,Olena N.
ED  - SpringerLink (Online service)
TI  - Estimation and Control Problems for Stochastic Partial Differential Equations
T2  - Springer Optimization and Its Applications,
SN  - 9781461482864
AV  - QA370-380 
U1  - 515.353 23
PY  - 2013///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Mathematics
KW  - Partial differential equations
KW  - System theory
KW  - Calculus of variations
KW  - Partial Differential Equations
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Systems Theory, Control
N1  - 1. Two Parameter Martingales and Their Properties -- 2. Stochastic Differential Equations on the Plane -- 3. Filtration and Prediction Problems for Stochastic Fields -- 4. Control Problem for Diffusion-Type Random Fields -- 5. Stochastic Processes in a Hilbert Space -- References
N2  - Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents research that has not previously been covered. More generally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes in turbulence theory, fluid mechanics, hydrology, astronomy, and meteorology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monograph can be used for education courses on the estimation and control theory of random fields
UR  - http://dx.doi.org/10.1007/978-1-4614-8286-4
ER  -