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Moreover, the controller ensures convergence to the centralized optimum, even in the case of coupled constraints.
Such conditions are framed in terms of a set of coupled constraints which are nonlinear in general, but linear for a fixed Courant number.
We propose a game theoretic model with a coupled constraints equilibrium as a solution to the regulator's problem of avoiding excessive pollution.
The regulator can direct the regions to implement the solution by using political pressure, or compel them to employ it by using the coupled constraints' Lagrange multipliers as taxation coefficients.
In this paper, we study a distributed continuous-time design for aggregative games with coupled constraints in order to seek the generalized Nash equilibrium by a group of agents via simple local information exchange.
The main contribution of this article is twofold: (1) computationally, we develop efficient optimization algorithms for both continuous and discrete formulations, of which the key step is a projection with two coupled constraints; (2) statistically, we show that the proposed continuous model reconstructs the oracle estimator.
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Thus, a key feature is that coupled constraint satisfaction is compatible with inter-agent cooperation.
Comparisons of our results with those previously reported for the absolute optical frequency measurements in H and 171Yb+ vs other 133Cs standards yield a coupled constraint of -1.5x10 -15)<0.4x10(-15) yr-1 and -2.7x10 -15)<8.6x10(-15) yr-1.
With an extension of the formulation to a weak enforcement of coupling constraints we are able to handle CAD-derived trimmed multi-patch NURBS models for thin shell structures.
Thus, we call them coupling constraints [5], and they represent the most challenging constraints of the SRPC problem.
As for carbohydrate metabolism, the porin coupling constraint forced iJL1678-ME to consider the slower diffusion rate of acetate verses gaseous molecules; thus, iJL1678-ME utilized acetate overflow (i.e., fermentation) pathways less than iOL1650-ME.
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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