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The Green's matrix function of A was constructed.
This method allows designers to use any matrix function of the state as the weight matrices in the quadratic cost function.
Let us take (Q_1=Q_2); then (alpha (y,tau )) or (alpha (tau )) is a monotone non-decreasing matrix function of (tau ).
In the method use is made of the Taylor formula for a matrix function of many variables, proved in reference [1].
In Section 2, the Green's matrix function of the difference space operator is presented and positivity of this operator in the difference analogy of C [ 0, l ] spaces is proved.
If F t) = F(f(t),g(t)), then we use F(A) to denote matrix operator of F(f(A), g(A)), it means that F(A) = F(f(A),g(A)), while F A,B) denotes the matrix function of two variables as it was well defined in some known articles.
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Thus, and are, respectively, the supremum norms on for vector and matrix functions of domains in respectively, in defined from their pointwise respective norms for each. is the n th identity matrix.
We introduce a class of matrix functions of the form begin{aligned} A x,z,p) = frac{1}{2} a_{kl} x,z p_kp_l I - a_0 x,z potimes p, end{aligned} (4.15 where (a_{kl}, a_0 in C^2 {bar{Omega }}times {mathbb {R}})) and the matrix ({a_{kl}}>0) in ({bar{Omega }}times {mathbb {R}}).
Now consider the special case of the matrix function, or equivalently, of a single nonzero entry.
It is directly involved in extracellular matrix function and because of its tolerability profile, it can be used without skin testing.
Observe however that the -monogenicity of the matrix function does not imply the -monogenicity of its entry functions and.
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