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We present a new control design method for perturbed multiple-input systems, which guarantees any desired componentwise ultimate bound on the system state.
The undisturbed system is assumed to be minimum-phase and to have known and constant relative degree, known sign of the 'high frequency gain', known upper bound on the system order.
Despite the inherent advantage of providing an upper bound on the system failure probability, Pf, methods for the reliability analysis of rigid-plastic structures based on the static theorem of plastic analysis have received very limited attention compared to those using kinematic theorems.
In this paper, it is shown that with the assumption of smoothness of the external disturbances, a different form of switching element in the controller can outperform the so-called linear controller in terms of the thickness of the boundary layer around the sliding function and the ultimate bound on the system state.
Note that an upper bound on the system performances is obtained by assuming the above idealities.
Note that by assuming the above idealities, an upper bound on the system performances is obtained.
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The underlying assumption for the approach presented in this paper to provide a tight bound on the robustness of the system is that the nominal periodic orbit of the system originates from a Hopf bifurcation.
Employing norm-bounded parametric uncertainties and utilizing the second-method of Lyapunov, we examine the problem of designing a mixed H2/H∞ controller which minimizes a quadratic H2 performance measure while satisfying a prescribed H∞-norm bound on the closed-loop system.
Then, the upper bound on the capacity of the system can be easily obtained.
The SER expressions in (26) reveal the trade-off between Doppler diversity and channel estimation errors, and they provide a lower bound on the performance of systems with practical precoders.
Note that one can estimate a rough upper bound on the performance of a system where the two CSGs use orthogonal bands by scaling the no CSG results of Figure 4(a) by half.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com