“…The desired values of the temperatures are set up as follows: y s re f =55 o C and y (i) re f =24 o C, i ∈ N . Fig.2 shows the residuals, adaptive thresholds and the detection signals of the monitoring agents M (1) , M (7) , while the rest of the monitoring agents (i.e., M s ,M (2) ,...,M (6) ) are not presented since their ARRs are not violated for all t. At the time instant t (7) D = 20 h, a fault is detected by M (7) which initiates the isolation procedure in the monitoring agent M (7) and its neighbouring agents M s , M (4) and M (6) . In the case of M s , the observed pattern Φ s equal to Φ s = [0,0,0,0,0,0,0,1], which is compared to the theoretical patterns F s k for all k ∈ {1,...,255}, leading to ϒ s = { f (7) } and I s = I s,1 = ⋅⋅⋅ = I s,6 = 0 and I s,7 = 1.…”