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To guarantee the stability, some stability constraints have to be imposed on the denominator coefficients.
Thus, several constraints have to be imposed along the whole design process with the aim of producing really interpretable fuzzy systems, in the sense that every element of the whole system may be checked and understood by a human being.
This weak solution is not necessarily unique and usually further constraints have to be imposed in order to guarantee its uniqueness.
However, it should be noted that to estimate the linear effects, certain constraints have to be imposed in the estimation of coefficients, and therefore the challenge is to seek for constraints that are justifiable and interpretable.
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We must then impose some further constraint that narrows the field to a smaller family in which there is an assignment of maximum entropy.[3] This constraint has to be imposed from outside as background knowledge, but there is no general theory of which external constraint should be applied when.
As we shall see, more constraints may have to be imposed, if for instance the flow in the pipe is required to be laminar.
In that vein, infinite matrices can also be used to describe operators on Hilbert spaces, where convergence and continuity questions arise, which again results in certain constraints that have to be imposed.
The idea is that the low-risk's incentive compatibility constraint at the contract aimed to the low risk is not binding, so a voluntary participation constraint would have to be imposed to close the model.
However, the resulting large number of constraints that had to be imposed was such that a model could not be identified.
Finally, the fourth constraint imposes that the transmission rates have to be positive, and the fifth constraint imposes that the transmit covariance matrices have to be positive and semi-definite.
"There have to be some constraints.
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