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Algorithms are developed for minimizing the upper bound on the regional L2 gain for exogenous inputs with L2 norm bounded by a given value, and for minimizing this upper bound with a guaranteed reachable set or domain of attraction.
The coordinate-exchange algorithm leads to the most efficient design since it is not bounded by a given candidate set of points.
The method can be applied to a class of continuous-time linear systems with either rational or polynomial parameter dependence, provided that the parameters and their rate of variation are bounded by a given polytope.
First, under the assumption that the Markov parameter is measured, the main contribution is on the LMI characterization of all linear feedback controllers such that the closed loop output remains bounded by a given norm level.
A bounded action theory is one which entails that, in every situation, the number of object tuples in the extension of fluents is bounded by a given constant, although such extensions are in general different across the infinitely many situations.
First, under the assumption that the Markov parameter is measured, the main contribution is on the LMI characterization of all filters such that the estimation error remains bounded by a given norm level, yielding the complete solution of the mode-dependent filtering design problem.
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According to the Wulff facets theorem, a crystal has to be bounded by facets giving a minimum total surface energy at equilibrium [45, 46].
In [19], authors point out that the maximum number of flows that can be encoded with a given flow is bounded by a small number.
Applying Chernoff bound, the PEP corresponding to is upper bounded by which is given by (32).
In our proposed method, we assume that the maximum indegree is bounded by a constant, and the numbers of addition and deletion edges in a given network are bounded by the constants K and H, respectively.
Simultaneously we solve two related problems: the Stechkin problem on the best approximation of unbounded operators by bounded ones on a given class of elements and the problem of optimal recovery of an operator on elements from some class given with prescribed error.
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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