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Moreover, it is only assumed that the measurement noise and the disturbances are bounded without any additional information such as stationarity, uncorrelation or type of probabilistic distribution.
The results show that all stresses, strains, and particle velocities in the asymptotic fields are fully continuous and bounded without elastic unloading near the dynamic crack tip.
The constructed controller assures that all signals in the closed-loop system are bounded without transgression of the constraint, and the system output eventually converges to a small neighborhood of the desired reference signal.
The l 2 -errors are bounded without blowing up.
Since is bounded, without loss of generality, we may assume that converges weakly to.
Since is bounded, without loss of generality, we may assume that converges weakly to a point.
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We obtain Gaussian bounds without further assumption ifn⩽2, and when the principal part has Hölder continuous coefficients ifn⩾3.
By comparing the results with the reference solution and those by other conventional methods, it is demonstrated that the URP method can provide the most accurate response bounds without hard computational effort.
It is the first PERC algorithm to provably converge in bounded time without requiring per-flow state or network synchronization.
Plasma actuators are electrical devices that generate a wall bounded jet without the use of any moving parts.
Moreover, the setting time is also estimated for the network under study with bounded delays or without delays.
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CEO of Professional Science Editing for Scientists @ prosciediting.com