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In particular, this paper is focused on the class of CCOPs that admits a representation in terms of a square matrix of constraints C.
Matrix of constraints and weaknesses in the current statistical systems.
This matrix Z is the matrix of constraints for the position of that atom.
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C is the matrix of constraint parameter and indicates the weighting of constrain condition which depends on the altitude.
where Z is a null space matrix for the matrix of active constraints at x∗, and ≽ represents componentwise inequality for vectors and positive semidefiniteness for matrices.
Since the reactions affect the stoichiometric matrix of the internal constraints, such constrained equilibrium states cannot be defined in terms of conventional atomic mass balances.
Matrix of weaknesses and constraints in the current statistical system.
From (18),we can observe that the optimization problem (10) that involves the two constraints (Vert boldsymbol {w}^{T}_{x}boldsymbol {X}Vert _{2}=1) and (Vert boldsymbol {w}^{T}_{y}boldsymbol {Y}Vert _{2}=1) has now been transformed into a rank-1 matrix approximation problem free of constraints and which can be solved with an SVD.
A frequency domain design method of fixed structure multivariable PID controllers that satisfy the performance index of the standard H∞ control problem with the LMI (linear matrix inequality) constraints of the PID gains is proposed.
where defining is the coefficient matrix of the inequality linear constraints and is the coefficient vector of the inequality constraints.
Here, we show that the network structure (i.e. the stoichiometric matrix) alone provides a system of constraints on the fluxes in a biochemical network which are feasible according to both mass balance and the laws of thermodynamics.
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