The phrase "associated with the linear" is correct and usable in written English.
It can be used in contexts discussing relationships, connections, or correlations related to linear concepts, such as linear equations or linear models.
Example: "The results of the experiment were associated with the linear trends observed in the data analysis."
Alternatives: "linked to the linear" or "related to the linear".
This paper addresses a problem of optimal control design associated with the linear networked control systems (NCSs).
Although its pathogenesis remains obscure, Parry-Romberg syndrome (PRS) has been associated with the linear scleroderma en coup de sabre.
Other limitations associated with the linear models are identified and future research issues have been discussed briefly.
These methods are based on iterating certain time evolution equations associated with the linear stability eigenvalue problem.
The challenges associated with the linear compressors are also discussed to provide a comprehensive review of the technology for research and development in future.
The Engesser critical load is derived by applying the stability procedures to the total potential energy associated with the linear shear formulation.
It relies on the analysis of a periodic composite for which an exact resolution of both the original nonlinear homogenization problem and the linear homogenization problems associated with the chosen linear comparison composite (LCC) with an identical microstructure is possible.
The linear quadratic optimal control is then based on the solution of the discrete-time algebraic Riccati equation associated with the augmented linear time-invariant model.
We also prove that the lower bound associated with the huge linear programming relaxation dominates all the other lower bounds we consider.
Particularly, it follows from the results that the quotient maps on X associated with the closed linear subspaces of X are equally relatively open on U if and only if X is locally uniformly convex.
This allows us to consider different Green's functions associated with the complete linear differential operator.
