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The Kharitonov's theorem is used to determine the robustness margin, i.e., the maximal uncertainty bounds under which the stable performance of the power system is guaranteed.
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It also aids in framing a lower and upper bound of connectivity under which the survivability of the entire network is optimal.
We provide a condition under which this upper bound is achieved and describe an optimal mechanism.
Conditions under which the lower-bound on SNR is obtained are derived.
The notion of bounded state stability (BSS) with respect to the influence of L2 or L∞ disturbances is introduced and conditions under which a system is bounded state stable are established in terms of linear matrix inequalities (LMIs).
We continue the capacity results by the derivation of two sets of strong interference conditions, under which the third inner bound achieves capacity.
For a given set of linear feedback gains, a given switching scheme and a given bound on the energy of the disturbances, conditions are established in terms of linear or bilinear matrix inequalities under which the resulting switched system is bounded state stable, that is, trajectories starting from a bounded set will remain inside the set or a larger bounded set.
For a given set of linear feedback gains, a given switching scheme and a given bound on the L2 norm of the disturbances, conditions are established in terms of linear or bilinear matrix inequalities under which the resulting switched system is bounded state stable, that is, trajectories starting from a bounded set will remain inside the set or a larger bounded set.
Moreover, Darus and Ibrahim [3] determined the conditions under which the partial sums of functions of bounded turning are also of bounded turning.
Additionally, conditions under which second-order convergent lower bounding schemes are sufficient to mitigate the cluster problem around a global minimizer are developed.
The next result provides conditions under which projective Φ-contractions enjoy the bounding fixed point property.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com