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Extra info for BS EN 1015-11:1999: Methods of test for mortar for masonry. Determination of flexural and compressive strength of hardened mortar

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J U / 0/ ' TT [Pmm-~ // and u ^ , . . , u m are e x c i t a t i o n control,M = Ω' χ K xR Q, = {8|l8i-8j-aijlV />>, I m (6) i=l, .. , m ' j=\Jx\ ω ηΓα ω "' Ü , , K m -K > """ qm v J qm — j=ltJxm E Y q J Sin ® mj " δ-Q ) m j tj j THE DESIGN PRINCIPLES OF NONLINEAR OPTIMAL EXCITATION CONTROL Linearizability (8) Contrasting the equation (3) with the presentation of theorem 1 of reference Cheng, one recognizes that the integers m=lI=l2 = l3> N=3 and Il+l2 + l3=3m=n.

The minimization of the error function (8) gives : : 1 : {^(t+At) - [r! Wr1]" ri W[yc(t+2At)-$>y(t+At)1 r2u2(t+At)] (9) with u2(t+At) - u2(t). It must be pointed out that in Eq. (9), the aim vector and the vector Φ$(ί+Δϋ) are in fact variations, respectively, of the aim vector and of the state vector prediction. This presentation is more convenient in a control situation where we desire to annul any variation of the state quantities. It is also interesting to be able to modify, for example, the terminal voltage reference; this correspond to a servocontrol situation.

M ' j=\Jx\ ω ηΓα ω "' Ü , , K m -K > """ qm v J qm — j=ltJxm E Y q J Sin ® mj " δ-Q ) m j tj j THE DESIGN PRINCIPLES OF NONLINEAR OPTIMAL EXCITATION CONTROL Linearizability (8) Contrasting the equation (3) with the presentation of theorem 1 of reference Cheng, one recognizes that the integers m=lI=l2 = l3> N=3 and Il+l2 + l3=3m=n. gmLlii LfinV. ■*"r-% ^ K where Lfg^ and Lff^ are first and second order Lie derivatives of Si with respect to f(x) respectively, we know that n vectors C are linear independent at x € M, that implies condition i) of the theorem 1 in ref.

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