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To determine the structural rank, we refer to the following definition [ 24]: "The structural rank (s-Rank) of a structural matrix is the maximum rank a linear matrix of this structure can have".
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In terms of a linear matrix inequality (LMI), a sufficient condition for the solvability of the problem is obtained.
The problem of the observer design is tackled in terms of a Linear Matrix Inequalities (LMIs) feasibility problem.
Then we give a design method of the observer that is dependent on the solution of a linear matrix inequality.
The condition takes the form of a linear matrix inequality.
The predictor is designed using Lyapunov-based methods, by numerical solution of a linear matrix inequality.
It allows to describe the control design in the form of a linear matrix inequality.
Weights are either based on the known measurement noise or given by the solution of a linear matrix inequality problem.
For transient response, the feasibility of a linear matrix inequality should be checked for each PD coefficient.
The stochastic stability and the H∞ performance of the obtained closed-loop stochastic system are analyzed in terms of a linear matrix inequality and a linear matrix equality.
The algorithm is iterative, and each iteration involves the solution of a linear-matrix-inequality (LMI) problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com