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such that a i (t) are real-valued functions, and H i (i=1,⋯,m) are linearly independent constant matrices generating a Lie algebra V = span { H 1, ⋯, H m } ⊆ GL n Open image in new window by implementing a Lie bracket [ H i, H j ] = H i H j - H j H i = ∑ k = 1 m η ijk H k Open image in new window (7).
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Objective (a) is achieved by computing state feedback matrices so that the closed-loop subsystem evolution matrices generate a solvable Lie algebra (namely, they are all upper triangular in a common coordinate basis).
Experimental results have been obtained in a simulated transmission channel to show that the optimized LDPC matrices generate a more robust protection scheme against bursty packet losses for small information blocks.
Cell growth on defined matrices generated a qualitative "growth profile" for each cell line (Fig. 1, 2).
The mixing of 30 wt% TiO2 NPs into the PBA matrix generated a superhydrophobic surface (static water contact angle: >150° with a sliding angle of approximately 1°).
While pristine SWCNTs incorporated in a polymer matrix generated a p-type TE material, chemical functionalization of SWCNTs by using polyethyleneimine produced an n-type TE material.
Normally, integrinβ1-FAK signalling, apart from playing a role as a hook to attach the cell to matrix, generates a signal to enforce the cell towards functions such as attachment, apoptosis and differentiation.
Because only a small fraction of transcription factors have been analyzed in sufficient detail to have a position-weight matrix generated, a large fraction of regulatory genes are necessarily omitted.
It is shown that if there is a self-orthogonal 5- 72,16,78) design, then the rows of its block-point incidence matrix generate an extremal doubly even self-dual code of length 72.
Besides, differential ability of VEGF isoforms in binding to the extracellular matrix generates an "angiogenic gradient" that is now considered of importance in a variety of pathophysiological conditions [ 23].
A common problem of these kernel-based methods is to calculate inverses of kernel matrices generated by a kernel function and a set of points.
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