{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:16:21Z","timestamp":1761488181484},"reference-count":37,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008,12,1]]},"abstract":"<jats:title>Configuring A Sensor Network for Fault Detection in Distributed Parameter Systems<\/jats:title><jats:p>The problem of fault detection in distributed parameter systems (DPSs) is formulated as that of maximizing the power of a parametric hypothesis test which checks whether or not system parameters have nominal values. A computational scheme is provided for the design of a network of observation locations in a spatial domain that are supposed to be used while detecting changes in the underlying parameters of a distributed parameter system. The setting considered relates to a situation where from among a finite set of potential sensor locations only a subset can be selected because of the cost constraints. As a suitable performance measure, the<jats:italic>D<jats:sub>s<\/jats:sub><\/jats:italic>-optimality criterion defined on the Fisher information matrix for the estimated parameters is applied. Then, the solution of a resulting combinatorial problem is determined based on the branch-and-bound method. As its essential part, a relaxed problem is discussed in which the sensor locations are given<jats:italic>a priori<\/jats:italic>and the aim is to determine the associated weights, which quantify the contributions of individual gauged sites. The concavity and differentiability properties of the criterion are established and a gradient projection algorithm is proposed to perform the search for the optimal solution. The delineated approach is illustrated by a numerical example on a sensor network design for a two-dimensional convective diffusion process.<\/jats:p>","DOI":"10.2478\/v10006-008-0045-4","type":"journal-article","created":{"date-parts":[[2009,1,6]],"date-time":"2009-01-06T18:26:23Z","timestamp":1231266383000},"page":"513-524","source":"Crossref","is-referenced-by-count":28,"title":["Configuring A Sensor Network for Fault Detection in Distributed Parameter Systems"],"prefix":"10.61822","volume":"18","author":[{"given":"Maciej","family":"Patan","sequence":"first","affiliation":[]},{"given":"Dariusz","family":"Uci\u0144ski","sequence":"additional","affiliation":[]}],"member":"37438","reference":[{"key":"1","first-page":"4238","volume":"Vol. 6","author":"M. Amouroux","year":"1988","journal-title":"Systems & Control Encyclopedia. Theory, Technology, Applications"},{"key":"2","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199296590.001.0001","author":"A. 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