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Distributed scheduling of measurements in a sensor network for parameter estimation of spatio-temporal systems

International Journal of Applied Mathematics and Computer Science's Cover Image
International Journal of Applied Mathematics and Computer Science
Issues in Parameter Identification and Control (special section, pp. 9-122), Abdel Aitouche (Ed.)

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Alifanov, O.M., Artyukhin, E.A. and Rumyantsev, S.V. (1995). Extreme Methods for Solving Ill Posed Problems with Applications to Inverse Heat Transfer Problems, Begell House, New York, NY.10.1615/978-1-56700-038-2.0Search in Google Scholar

Atkinson, A.C., Donev, A.N. and Tobias, R.D. (2007). Optimum Experimental Designs, with SAS, Oxford University Press, Oxford. Search in Google Scholar

Boukerche, A. (2006). Handbook of Algorithms for Wireless Networking and Mobile Computing, Chapman & Hall/CRC, Boca Raton, FL.10.1201/9781420035094Search in Google Scholar

Boyd, S., Ghosh, A., Prabhakar, B. and Shah, D. (2006). Randomized gossip algorithms, IEEE Transactions on Information Theory 52(6): 2508-2530.10.1109/TIT.2006.874516Open DOISearch in Google Scholar

Braca, P., Marano, S. and Matta, V. (2008). Enforcing consensus while monitoring the environment in wireless sensor network, IEEE Transactions on Signal Processing 56(7): 3375-3380.10.1109/TSP.2008.917855Open DOISearch in Google Scholar

Cacuci, D.G., Navon, I.M. and Ionescu-Bujor, M. (2014). Computational Methods for Data Evaluation and Assimilation, CRC Press, Boca Raton, FL. Search in Google Scholar

Cassandras, C.G. and Li, W. (2005). Sensor networks and cooperative control, European Journal of Control 11(4-5): 436-463.10.3166/ejc.11.436-463Open DOISearch in Google Scholar

Demetriou, M.A. (2010). Guidance of mobile actuator-plus-sensor networks for improved control and estimation of distributed parameter systems, IEEE Transactions on Automatic Control 55(7): 1570-1584.10.1109/TAC.2010.2042229Open DOISearch in Google Scholar

Demetriou, M.A. and Hussein, I.I. (2009). Estimation of spatially distributed processes using mobile spatially distributed sensor network, SIAM Journal on Control and Optimization 48(1): 266-291.10.1137/060677884Search in Google Scholar

Fedorov, V.V. and Hackl, P. (1997). Model-Oriented Design of Experiments, Lecture Notes in Statistics, Vol. 125, Springer-Verlag, New York, NY.10.1007/978-1-4612-0703-0Search in Google Scholar

Holder, D.S. (Ed.) (2004). Electrical Impedance Tomography: Methods, History and Applications, Taylor & Francis, Philadelphia, PA.10.1201/9781420034462.ch4Search in Google Scholar

Jacobson, M.Z. (1999). Fundamentals of Atmospheric Modeling, Cambridge University Press, Cambridge. Search in Google Scholar

Jain, N. and Agrawal, D.P. (2005). Current trends in wireless sensor network design, International Journal of Distributed Sensor Networks 1(1): 101-122.10.1080/15501320590901865Search in Google Scholar

Joshi, S. and Boyd, S. (2009). Sensor selection via convex optimization, IEEE Transactions on Signal Processing 57(2): 451-462.10.1109/TSP.2008.2007095Open DOISearch in Google Scholar

Kowalów, D., Patan, M., Paszke, W. and Romanek, A. (2015). Sequential design for model calibration in iterative learning control of DC motor, 20th International Conference on Methods and Models in Automation and Robotics, Mi˛edzyzdroje, Poland, pp. 794-799.10.1109/MMAR.2015.7283977Search in Google Scholar

Kubrusly, C.S. and Malebranche, H. (1985). Sensors and controllers location in distributed systems-A survey, Automatica 21(2): 117-128.10.1016/0005-1098(85)90107-4Open DOISearch in Google Scholar

Nehorai, A., Porat, B. and Paldi, E. (1995). Detection and localization of vapor-emitting sources, IEEE Transactions on Signal Processing 43(1): 243-253.10.1109/78.365304Open DOISearch in Google Scholar

Ögren, P., Fiorelli, E. and Leonard, N.E. (2004). Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment, IEEE Transactions on Automatic Control 49(8): 1292-1302.10.1109/TAC.2004.832203Search in Google Scholar

Patan, K. and Patan, M. (2010). Selection of training data for locally recurrent neural network, in K. Diamantaras et al. (Eds.), Artificial Neural Networks-ICANN 2010, Lecture Notes in Computer Science, Vol. 6353, Springer, Berlin/Heidelberg, pp. 134-137.10.1007/978-3-642-15822-3_16Search in Google Scholar

Patan, M. (2006). Optimal activation policies for continuous scanning observations in parameter estimation of distributed systems, International Journal of Systems Science 37(11): 763-775.10.1080/00207720600825560Open DOISearch in Google Scholar

Patan, M. (2008). A parallel sensor scheduling technique for fault detection in distributed parameter systems, in E. Luque et al. (Eds.), Parallel Processing-Euro Par 2008, Lecture Notes in Computer Science, Vol. 5168, Springer, Berlin/Heidelberg, pp. 833-843.10.1007/978-3-540-85451-7_88Search in Google Scholar

Patan, M. (2012a). Distributed scheduling of sensor networks for identification of spatio-temporal processes, International Journal of Applied Mathematics and Computer Science 22(2): 299-311, DOI: 10.2478/v10006-012-0022-9.10.2478/v10006-012-0022-9Open DOISearch in Google Scholar

Patan, M. (2012b). Optimal Sensor Networks Scheduling in Identification of Distributed Parameter Systems, Springer-Verlag, Berlin.10.1007/978-3-642-28230-0Search in Google Scholar

Patan, M. and Bogacka, B. (2007). Optimum experimental designs for dynamic systems in the presence of correlated errors, Computational Statistics & Data Analysis 51(12): 5644-5661.10.1016/j.csda.2007.05.030Open DOISearch in Google Scholar

Patan, M., Chen, Y. and Tricaud, C. (2008). Resource-constrained sensor routing for parameter estimation of distributed systems, 17th IFAC World Congress, Seoul, South Korea, pp. 7772-7777.10.3182/20080706-5-KR-1001.01314Search in Google Scholar

Patan, M. and Kowalów, D. (2014). Robust sensor scheduling via iterative design for parameter estimation of distributed systems, 19th International Conference on Methods and Models in Automation and Robotics, Mi ę dzyzdroje, Poland, pp. 618-623.10.1109/MMAR.2014.6957425Search in Google Scholar

Patan, M. and Romanek, A. (2016). Communication scheduling for fast distributed averaging in sensor networks, 2016 International Symposium on Wireless Communication Systems, Poznań, Poland, pp. 109-113.10.1109/ISWCS.2016.7600884Search in Google Scholar

Patan, M. and Uciński, D. (2010). Time-constrained sensor scheduling for parameter estimation of distributed systems, 49th IEEE Conference on Decision and Control, Atlanta, GA, USA, pp. 7-12.10.1109/CDC.2010.5717912Search in Google Scholar

Patan, M. and Uciński, D. (2016a). Cost-constrained D-optimum node activation for large-scale monitoring networks, IEEE 2016 American Control Conference (ACC), Boston, MA, USA, pp. 1643-1648.10.1109/ACC.2016.7525152Search in Google Scholar

Patan, M. and Uciński, D. (2016b). D-optimal spatio-temporal sampling design for identification of distributed parameter systems, 55th IEEE Conference on Decision and Control, Las Vegas, NV, USA, pp. 3985-3990.10.1109/CDC.2016.7798872Search in Google Scholar

Pázman, A. (1986). Foundations of Optimum Experimental Design, Mathematics and Its Applications, D. Reidel Publishing Company, Dordrecht.Search in Google Scholar

Point, N., Wouwer, A.V. and Remy, M. (1996). Practical issues in distributed parameter estimation: Gradient computation and optimal experiment design, Control Engineering Practice 4(11): 1553-1562.10.1016/0967-0661(96)00169-4Search in Google Scholar

Porat, B. and Nehorai, A. (1996). Localizing vapor-emitting sources by moving sensors, IEEE Transactions on Signal Processing 44(4): 1018-1021.10.1109/78.492560Open DOISearch in Google Scholar

Pronzato, L. (2003). Removing non-optimal support points in D-optimum designs algorithms, Statistics and Probability Letters 63(3): 223-228.10.1016/S0167-7152(03)00081-6Open DOISearch in Google Scholar

Rafajłowicz, E. (1986). Optimum choice of moving sensor trajectories for distributed-parameter system identification, International Journal of Control 43(5): 1441-1451.10.1080/00207178608933550Open DOISearch in Google Scholar

Silvey, S.D. (1980). Optimal Design. An Introduction to the Theory for Parameter Estimation, Chapman & Hall, London.10.1007/978-94-009-5912-5Search in Google Scholar

Silvey, S.D., Titterington, D.M. and Torsney, B. (1978). An algorithm for optimal designs on a finite design space, Communications in Statistics-Theory and Methods 7(14): 1379-1389.10.1080/03610927808827719Search in Google Scholar

Song, Z., Chen, Y., Sastry, C.R. and Tas, N.C. (2009). Optimal Observation for Cyber-Physical Systems: A Fisher- Information-Matrix-Based Approach, Springer-Verlag, London.10.1007/978-1-84882-656-4Search in Google Scholar

Sun, N.-Z. (1994). Inverse Problems in Groundwater Modeling, Theory and Applications of Transport in Porous Media, Kluwer Academic Publishers, Dordrecht.Search in Google Scholar

Torsney, B. and Mandal, S. (2004). Multiplicative algorithms for constructing optimizing distributions: Further developments, in A. Di Bucchianico et al. (Eds), mODa 7: 7th International Workshop on Model-Oriented Data Analysis, Physica-Verlag, Heidelberg, pp. 163-171.10.1007/978-3-7908-2693-7_18Search in Google Scholar

Tricaud, C. and Chen, Y. (2012). Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems, Springer-Verlag, London.10.1007/978-1-4471-2262-3Search in Google Scholar

Tricaud, C., Patan, M., Uciński, D. and Chen, Y. (2008). D-optimal trajectory design of heterogeneous mobile sensors for parameter estimation of distributed systems, American Control Conference, Seattle, WA, USA, pp. 663-668.10.1109/ACC.2008.4586568Search in Google Scholar

Uciński, D. (2000). Optimal selection of measurement locations for parameter estimation in distributed processes, International Journal of Applied Mathematics and Computer Science 10(2): 357-379.Search in Google Scholar

Uciński, D. (2004). Optimal Measurement Methods for Distributed Parameter System Identification, CRC Press, Boca Raton, FL.10.1201/9780203026786Search in Google Scholar

Uciński, D. (2012). Sensor network scheduling for identification of spatially distributed processes, International Journal of Applied Mathematics and Computer Science 22(1): 25-40, DOI: 10.2478/v10006-012-0002-0.10.2478/v10006-012-0002-0Open DOISearch in Google Scholar

Uciński, D. and Patan, M. (2002). Optimal location of discrete scanning sensors for parameter estimation of distributed systems, 15th IFAC World Congress, Barcelona, Spain, pp. 22-26.Search in Google Scholar

Uciński, D. and Patan, M. (2007). D-optimal design of a monitoring network for parameter estimation of distributed systems, Journal of Global Optimization 39(2): 291-322.10.1007/s10898-007-9139-zOpen DOISearch in Google Scholar

Walter, É. and Pronzato, L. (1997). Identification of Parametric Models from Experimental Data, Communications and Control Engineering, Springer-Verlag, Berlin.Search in Google Scholar

Wu, J. (Ed.) (2006). Handbook on Theoretical and Algorithmic Aspects of Sensor, Ad Hoc Wireless, and Peer-to-Peer Networks, Auerbach Publications/Taylor & Francis Group, Boca Raton, FL.10.1201/9780203323687Search in Google Scholar

Xiao, L. and Boyd, S. (2004). Fast linear iterations for distributed averaging, Systems & Control Letters 53(1): 65-78.10.1016/j.sysconle.2004.02.022Search in Google Scholar

Zhao, F. and Guibas, L.J. (2004). Wireless Sensor Networks: An Information Processing Approach, Morgan Kaufmann, Amsterdam.Search in Google Scholar

Zhong, M. and Cassandras, C.G. (2011). Distributed coverage control and data collection with mobile sensor networks, IEEE Transactions on Automatic Control 56(10): 2445-2455.10.1109/TAC.2011.2163860Search in Google Scholar

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Language:
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Journal Subjects:
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