The following result shows that this condition can be guaranteed under some usual properties.
By the definition of (V ( x_{k} )) in (4), we have V ( x_{ell} ) ge 0. From the previous derivations, the following condition can be guaranteed: sum_{k = 0}^{ell} z^{T} ( k )z ( k ) le gamma^{2} cdot sum_{k = 0}^{ell} w^{T} ( k )w ( k ),quad forall w ne 0. By Definition 1, system (1a -(1h) is asymptotically stabilizable with (H_{infty} ) performance γ by switching signal in (2c).
The state's public prosecutor's office has asked a judge to force work on the stadium in Manaus to be suspended until safe working conditions can be guaranteed, though such requests are rarely granted in Brazil.
Arrow's Theorem, a famous result in mathematical economics, essentially states that no voting system satisfying certain minimal conditions can be guaranteed to always yield a fair or reasonable aggregation of the voters' rankings of several candidates.
The analysis evidenced that much higher space velocities and reaction temperatures, as well as better isothermal conditions can be guaranteed by the present annular reactor in comparison with standard fixed-bed reactors.
The dynamic controller determines maximum values for decelerations and curvatures, as well as bounded sharpness so that instantaneous vehicle stability conditions can be guaranteed against lateral and frontal tip-overs.
Further it is deduced that (1) selection of the RUCs for a fixed periodic array may not be unique, however, the solution is independent on the choice of the different RUCs; (2) boundary traction continuity conditions can be guaranteed by the application of the proposed unified displacement-difference periodic boundary conditions.
It is one of the most accurate HSDT available in the literature, mainly because new non-polynomial shear strain shape functions (combination of exponential and trigonometric) used in the present theory are richer than polynomial functions, and free surface boundary conditions can be guaranteed a priori.
Therefore, condition (5) can be guaranteed by letting (v=sqrt{sigma gamma e^{gamma T}}).
Under this condition, it can be guaranteed that all ( K n ( f Ω ) ) n ∈ N 0 are positive.
(2.8) It is easy to see that the condition (2.8) can be guaranteed by (mathbb{E}|X|<infty).
