LMIs in Control/LMI Matrix Properties/Minimization of Maximum Eigenvalue of a MAtrix
The System
edit
-
Note that are symmetric matrices.
The Data
edit
-
The Optimization Problem
edit
Find
to minimize,
According to Lemma 1.1 in [1] page 10, the following statements are equivalent
The LMI: The Lyapunov Inequality
edit
Title and mathematical description of the LMI formulation.
-
Conclusion:
edit
are parameters to be optimized
Implementation
edit
Related LMIs
edit
LMI for Matrix Norm Minimization
LMI for Schur Stabilization
External Links
edit
A list of references documenting and validating the LMI.
- [1] - LMI in Control Systems Analysis, Design and Applications
Return to Main Page:
edit