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We suppose that computing the C-Solution, in each bargaining problem H S, S ⊆ N = {2, 3, 4} the players in S agree on the scheduling that corresponds to their maximal global utility M S), so V(S) = {x ∈ R S | ∑i∈Nx i  ≤ M S }, i.e. the feasible s-tuples of utilities for the members of S.

The former case of uncertainty (due to insufficient data) is only valid if the model is, in principle, uniquely identifiable and structurally distinguishable [ 19, 51] from among all feasible S-systems.

Compute F γ T Open image in new window by using the following equality for all sets of feasible values s l K | k ∈ S γ Open image in new window.

Compute F γ T Open image in new window by using the following steps for all sets of feasible values s l K | k ∈ S γ Open image in new window.

The optimization process converges to a feasible solution s t d≃0 (highlighted in blue in Table 2).

Suppose that there exists a feasible strategy s that gives a lower value of objective function (2).

Malicious attack model: In this adversary model, attacker makes arbitrary feasible deviation(s) from the protocol specification and does not have to follow instructions of the protocol.

For any feasible schedule S = ( R 1, …, R z ), where the orders in R j are delivered at time T j for j = 1, …, z, we see that ⋃ j = j 0 z R j contains at least a late order.

Further, corresponding to this change, step (2) of Algorithm AWCR will be carried out in this way: given a feasible point S i ( n ) i = 1 K, its image under step (2) of Algorithm AWCR is a set of points.

Auslender [6] obtained necessary and sufficient conditions for a strict local minimizer of first and second order, supposing that the objective function f is locally Lipschitzian and that the feasible set S is closed.

In this paper, by applying the T-S fuzzy modeling and the inverse of the input matrix, a feasible T-S fuzzy controller is obtained to directly meet both system stability and design specifications.

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