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LMIs in Control/Matrix and LMI Properties and Tools/Continuous Time/Eigenvalue Problem

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LMIs in Control/Matrix and LMI Properties and Tools/Continuous Time/Eigenvalue Problem

The maximum eigenvalue of a matrix is going to have the most impact on system performance. This LMI allows for minimization of the maximum eigenvalue by minimizing .

The System

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The Data

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The matrices .

The Optimization Problem

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The LMI:

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Conclusion:

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The eigenvalue problem can be utilized to minimize the maximum eigenvalue of a matrix that depends affinely on a variable.

Implementation

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https://github.com/mcavorsi/LMI

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Structured Singular Value

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Return to Main Page:

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