Accesso libero

Source localization and sensor placement in environmental monitoring

INFORMAZIONI SU QUESTO ARTICOLO

Afifi, L., El Jai, A. and Merry, M. (2000). Detection and sources reconstruction in a tube, International Journal of Systems Science 31(2): 149-159.10.1080/002077200291262Search in Google Scholar

Afifi, L., El Jai, A. and Merry, M. (2001). Regional detection and reconstruction of unknown internal or boundary sources, International Journal of Applied Mathematics and Computer Science 11(2): 319-348.Search in Google Scholar

Alvez, C., Silvestre, A. L., Takahashi, T. and Tuscnak M. (2009). Solving inverse source problems using observability (with), SIAM Journal of Control and Optimization 48(3): 1632-1659.10.1137/080725635Search in Google Scholar

Butkovskii, A. G. and Pustylnikov, A. M. (1987). Mobile Control of Distributed Parameter Systems, Ellis Horwood, Chichester.Search in Google Scholar

Dagan, G. (1987). Theory of solute transport by groundwater, Annual Reviews of Fluid Mechanics 19: 183-215.10.1146/annurev.fl.19.010187.001151Search in Google Scholar

Dagan, G. (1989). Flow and Transport in Porous Formations, Springer-Verlag, Heidelberg, p. 465.Search in Google Scholar

Demetriou, M. (2009). Centralized and decentralized policies for the containment of moving source in 2D diffusion processes using sensor/actuator network, 2009 American Control Conference, St. Louis, MO, USA, pp. 127-132.Search in Google Scholar

Devooght, J. and Smidts, O. F. (1996). Transport of radionuclides in stochastic media: 1. The quasi asymptotic approximation, Annals of Nuclear Energy 23(6): 499-516.Search in Google Scholar

Dolecki, Sz. (1973). Observation for the one-dimensional heat equation, Studia Mathematica 48: 291-305.10.4064/sm-48-3-291-305Search in Google Scholar

Dolecki, Sz. and Russell, D. L. (1977). A general theory of observation and control, SIAM Journal of Control and Optimization 15: 185-219.10.1137/0315015Search in Google Scholar

Fattorini, H. O. and Russell, D. L. (1974). Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations, Quarterly of Applied Mathematics 43: 45-69.10.1090/qam/510972Search in Google Scholar

Friedman, A. (1964). Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, NJ.Search in Google Scholar

Isakov, V. (2009). Inverse Problems for Partial Differential Equations, Springer, New York, NY, p. 360Search in Google Scholar

Khapalov, A. Y. (1994a). L-exact observability of the heat equation with scanning pointwise sensor, SIAM Journal Control and Optimization 32(4): 1037-1051.10.1137/S036301299222737XSearch in Google Scholar

Khapalov, A. Y. (1994b). Localization of unknown sources for parabolic systems on the basis of available observations, International Journal of System Sciences 25(8): 1305-1322.10.1080/00207729408949279Search in Google Scholar

Khapalov, A. Y. (1996). On unique continuation of the solutions of the parabolic equation from a curve, Control and Cybernetics 25(1): 451-463.Search in Google Scholar

Khapalov, A. Y. (1998). Exact null-controllability for the semilinear heat equation with mobile controls of degenerate support, Technical Report Series 98-2, Mathematics Department, Washington State University, Pullman, WA.Search in Google Scholar

Khapalov, A. Y. (2001). Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation, SIAM Journal of Control and Optimization 40(7): 231-252.10.1137/S0363012999358038Search in Google Scholar

Khapalov, A. Y. (2010). Controllability of Partial Differential Equations Governed by Multiplicative Controls, Lecture Notes in Mathematics, Vol. 1995, Springer, Heidelberg/Dordrecht/London/New York, NY.Search in Google Scholar

Komornik, V. and Yamamoto, M. (2002). Upper and lower estimates in determining point sources in a wave equation, Inverse Problems 18(2): 319-329.10.1088/0266-5611/18/2/302Search in Google Scholar

Komornik, V. and Yamamoto, M. (2005). Estimation of point sources and applications to inverse problems, Inverse Problems 21(6): 2051-2070.10.1088/0266-5611/21/6/016Search in Google Scholar

Kurzhanski, A. B. and Khapalov, A. Y. (1990). Mathematical problem motivated by environmental monitoring, Proceedings of the 11th IFAC World Congress, Tallinn, Estonia, p. 5.Search in Google Scholar

Ladyzhenskaja, O. H., Solonnikov, V. A. and Ural'ceva, N. N. (1968). Linear and Quasi-linear Equations of Parabolic Type, AMS, Providence, RI.10.1090/mmono/023Search in Google Scholar

Matthes, J., Gruell, L. and Keller, H. (2005). Source localization by spatially distributed electronic noses for advection and diffusion, IEEE Transactions on Signal Processing 53(5): 1711-1719.10.1109/TSP.2005.845423Search in Google Scholar

Nicaise, S. and Zair, O. (2004). Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results, Electronic Journal of Differential Equations (20): 1-17.Search in Google Scholar

PAGIS (1989). Performance Assessment of Geological Isolation Systems for Radioactive Waste—Summary, Nuclear Science and Technology, Joint Research Centre, EUR 11775, 11776 EN.Search in Google Scholar

Puel, J.-P. and Yamamoto, M. (1995). Applications de la controlabilite exacte à quelques problèmes inverses hyperboliques, Computer Rendus de l'Académie des Sciences Serie 1, Mathématique 320(10): 1171-1176.Search in Google Scholar

Saut, J.-C. and Scheurer, B. (1987). Unique continuation for some evolution equations, Journal of Differential Equations 66(1): 118-139.10.1016/0022-0396(87)90043-XSearch in Google Scholar

Seinfeld, J. H. (1986), Atmospheric Chemistry and Physics of Pollution, Wiley Interscience, Somerset, NJ.Search in Google Scholar

Shukla, J. B., Hallam T. G. and Capasso V. (Eds.) (1987). Mathematical Modelling of Environmental and Ecological Systems, Elsevier, Amsterdam.Search in Google Scholar

Sivergina, I. F., Polis, M. P. and Kolmanovsky, I. (2003). Source identification for parabolic equations, Mathematics of Control, Signals, and Systems 16(2-3): 141-157.10.1007/s00498-003-0136-6Search in Google Scholar

Tzanos, P. and Zefran, M. (2006). Stability analysis of information based control for biochemical source localization, 2006 IEEE International Conference on Robotics and Automation, Orlando, FL, USA, pp. 3116-3121.Search in Google Scholar

Uciński, D. (2000). Optimal sensor location for parameter estimation of distributed processes, International Journal of Control 73(13): 1235-1248.10.1080/002071700417876Search in Google Scholar

Uciński, D. (2005). Optimal Measurement Methods for Distributed Parameter System Identification, CRC Press, Boca Raton, FL.10.1201/9780203026786Search in Google Scholar

Wang, Y. H. (2007). Global uniqueness and stability for an inverse plate problem, Journal of Optimization Theory and Applications 132(1): 161-173.10.1007/s10957-006-9096-6Search in Google Scholar

Williams, M. M. R. (1992). A new model for describing the transport of radionuclides through fractured rocks, Annals of Nuclear Energy 19(10-12): 791-824.10.1016/0306-4549(92)90018-7Search in Google Scholar

Williams, M. M. R. (1993). Radionuclides transport through fractured rocks, Annals of Nuclear Energy 20(3): 279-297.10.1016/0306-4549(93)90083-2Search in Google Scholar

Yamamoto, M. (1995). Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method, Inverse Problems 11(2): 481-496.10.1088/0266-5611/11/2/013Search in Google Scholar

ISSN:
1641-876X
Lingua:
Inglese
Frequenza di pubblicazione:
4 volte all'anno
Argomenti della rivista:
Mathematics, Applied Mathematics