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The performance is assessed in terms of the matrix estimation accuracy, the numerical complexity, and the CPU time.
The next conditions are expressed in terms of the matrix function A and extend condition A3w in the optimal transportation case [20].
In the second approach, proportional-integral (PI) controllers are designed by obtaining solution to the system in terms of the matrix Lambert W function.
These algebras, which generalise the analytic Toeplitz algebras of rank 2 graphs with a single vertex, are classified up to isometric isomorphism in terms of the matrix u.
Then the proposed PROJT and its inverse transform can be presented in terms of the matrix form as follows: Y = [ J ] N X. and X = [ J ] N − 1 Y = 1 N [ J ] N RT Y.
where P n is a polynomial function of W. The block-diagram in Figure 2 can be redrawn in terms of the matrix formulation as shown in Figure 10.
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The state feedback matrices are computed by solving LMIs in terms of the matrices defining the individual agent dynamics.
Second and third order approximations are presented by employing only the diagonal terms of the matrices of the higher order derivatives.
where and denotes the th diagonal term of the matrix.
The symbol ∗ within a matrix represents the symmetric term of the matrix.
where is the forward difference operator and denotes the term of the matrix transform of the sequence, where.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com