Under the aforementioned conditions, both state and disturbance estimation errors converge to zero with assignable rates.
Also, we consider the magnitude of the process shift and the occurrence rate of an assignable cause as fuzzy numbers.
By making the assumption that the occurrence rate of each assignable cause is exponential, a Markov chain approach is utilized to determine the probabilities that the process operates at any of the above possible states.
Provided the IE condition is satisfied, the proposed design guarantees uniform global exponential stability (UGES) of the error dynamics, where the convergence rate is user-assignable.
For the four different datasets, it assigned 13% of additionally assignable aliphatic atoms (277 carbon types) with an average error rate of 8.7% (24 errors out of 277 types).
4D-CHAINS was able to assign 91.1% of all assignable aliphatic atoms (2033 carbon types) with an average error rate of 5.5% (112 errors out of 2033 types).
It performed NH mapping successfully, assigned correctly all α- and β-atoms (1253 carbon types or 56.2% of all assignable atoms) and completed the missing assignments from the NOESY spectrum, where it assigned 37.9% of additionally assignable atoms (847 carbon types) with an average error rate of 5.1% (43 errors out of 847 types).
For an x ¯ control chart the input parameters include certain cost parameters such as cost of false alarm, the cost of finding an assignable cause etc., and certain process parameters like failure rate of the process and process shift parameter.
§ 100.13 Directly assignable costs.
Extending Koo and Case's model (1990) for the case of a single assignable cause to allow for the second occurrence of an assignable cause following the first occurrence and the probability of the assignable causes following exponential distribution, the process-failure mechanism having a fixed hazard rate.
Assignable – If it is a group task, it should be assignable individually… Avoid ambiguous dependencies.
