The phrase "admissible upper" is not a standard expression in written English and may not be widely understood.
It could potentially be used in a specific context related to legal or technical terminology, but clarity would depend on the surrounding text.
Example: "In the context of the regulations, the admissible upper limit for emissions must be strictly adhered to."
Alternatives: "acceptable maximum" or "permissible upper limit".
In case of non-zero poles on the imaginary axis, maximal admissible upper bound of the time-varying delay is given in terms of both the agent dynamic and network topology; otherwise, consensus can be achieved for the time-varying delay with arbitrarily large upper bound.
The estimate error we have got provides the admissible upper bound under which the convergence can be guaranteed.
The maximum admissible upper bound can be regarded as an important index for the conservatism of stability criteria [19 23].
For comparison, the MAUBs (maximum admissible upper bounds) of (tau (t)) derived from Theorem 1 and Corollary 1 with various values of μ and m are summarized in Table 1.
Existing research results have addressed the time delay in networked systems from two aspects: one is to determine an admissible upper bound of the time delay for which a prescribed performance can be guaranteed; the other is to design filtering algorithm for a given time delay to meet certain performance requirements.
The problem of the delay-dependent stability analysis of time-delay systems has become a hot research topic in the control community [17, 18] due to the fact that stability criteria can provide a maximum admissible upper bound of time delay.
Here, the lower and the upper admissible bounds for all fluxes, which have neither been measured nor have associated knockouts, are obtained through the application of an optimization-based method that maximizes/minimizes the flux of interest under the same set of constraints.
Such yielding is only beneficial in case of three-dimensional and continuous velocity fields, and therefore a numerical procedure that generates relevant kinematically admissible fields for classical upper bound calculation is suggested.
A generalised framework has recently been proposed for derivation of kinematically admissible velocity fields in 3-dimensional upper bound limit analysis in Tresca's material using coordinate transformations.
The kinematic assumptions with plastic hinge lines reduce the set of admissible kinematic fields for our upper bound approach, however the procedure appears relatively simple, visual, and can be developed to investigate the behaviour of other plates in various loading and reinforcement schemes, like the respective approach of plastic limit analysis, which was restricted to static loading.
The actual smoothing error variances of each fuser are guaranteed to have a minimal upper bound for all admissible uncertainties.
