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Exact(10)
Finally, the switching law and FDFs are obtained by the solution of a convex optimization problem.
Lower bounds are produced from the solution of a convex relaxation of the original problem.
Furthermore, the desired estimator parameter is obtained in view of the solution of a convex optimization problem.
Controller parameters are determined by the solution of a convex optimization problem subject to linear matrix inequality constraints.
It is shown that the optimal filter design reduces to the solution of a convex optimization problem expressed in terms of linear matrix inequalities (LMIs).
Note that each iteration corresponds to evaluating a simple closed-form expression for the solution of a convex program, thus requiring a very little computational effort.
Similar(50)
Furthermore, the explicit expression of the gain of the desired estimator is described in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programme method.
The characterization of the desired filter gains is derived in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite program method.
Subsequently, the desired state feedback gain matrix is designed in terms of the solution to a convex optimization problem.
A sufficient condition is given for the solvability of the addressed multiobjective control problem, and the desired observer and controller gains are characterized in terms of the solution to a convex optimization problem that can be easily solved by using the semi-definite programming method.
In this language what we have shown in (0.1) vs. (0.2) is that the set of solutions to a "convex matrix inequality" with noncommutative unknowns is the same as the set of solutions to some LMI.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com