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of which each element can be a function of timet.F(t) can be the time-evolution operatore^{-(i/\hbar )Ht}of a non-Hermitian system, a nonunitary operator applied to a non-Hermitian or open system, and etc.F(t) may any operator that shrinks, preserves or enlarges the norm of a...
Theorem 1 (Weak Duality). Let ( a , u ) ∈ D be a feasible solution of the multiobjective variational control problem with interval-valued components ( P P ) , and let ( b , w , θ , λ , μ ) ∈ △ be a feasible solution of the multiobjective variational control problem with...
Theorem 1 (Weak Duality). Let ( a , u ) ∈ D be a feasible solution of the multiobjective variational control problem with interval-valued components ( P P ) , and let ( b , w , θ , λ , μ ) ∈ △ be a feasible solution of the multiobjective variational control problem with...
For more details, please see [32] (Theorem 3.5). Now, we show robust approximate duality properties for ( UFP ) (UFP) and ( UFD ) (UFD) by showing approximate duality properties between the robust counterpart ( RMP ) (RMP) and the optimistic counterpart ( OFD ) (OFD). In what ...
More generally, the underlining initial distribution α can be arbitrarily chosen, such that ∑𝑛𝑖=1𝛼𝑖=1∑i=1nαi=1; this case will be discussed only in Theorem 3 below. Now, we introduce a (delayed) generalized Erlang(𝑛,𝝀n,λ) risk model given by: 𝑋(𝑡)=𝑋(0...
Theorem 1 (Weak Duality). Let ( a , u ) ∈ D be a feasible solution of the multiobjective variational control problem with interval-valued components ( P P ) , and let ( b , w , θ , λ , μ ) ∈ △ be a feasible solution of the multiobjective variational control problem with...