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Since no useful term is neglected in estimating the upper bound of the derivative of the LKF and the lower bound of the delay is included in the obtained conditions, the results in the paper are much less conservative than the open ones, which is finally illustrated by a numerical example.
(tau_{m}) is the lower bound of the delay and (tau_{M}) is the upper bound.
The traditional delay-dependent controller design, incorporating zero lower bound of the delay, for the time-delay systems is a particular scenario of the projected delay-range-dependent approach.
A sufficient condition ensuring the asymptotic convergence of the observation error towards zero is given, as well as an explicit relation between the bound of the delay and the parameter of the observer.
However, in practical world, the time-varying delay may be an interval delay, that is, the lower bound of the delay interval is not restricted to zero.
For, the maximum allowable upper bound of the delay is which is larger than derived in Jiang and Han in [17].
Similar(52)
In addition, our proposed method sets the limited delay bound of the delays caused by estimation errors, and if the limited delay bound is exceeded, the corresponding frame is decoded with a processor's maximum frequency.
Considering the fact that the communication delay is inevitable in real applications, the corresponding allowed maximum upper bound of the communication delay among all interceptors is also derived analytically.
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.
Upon [14] and [15], we realize that the lower bound of the system delay also being related to the sparsity of random projections and the larger g being the shorter delay may be achieved.
These conditions are expressed in the form of linear matrix inequalities, that depend on the maximum bound of the time delay and the desired decay rate of the system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com