LMIs in Control/pages/Schur Complement

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An important tool for proving many LMI theorems is the Schur Compliment. It is frequently used as a method of LMI linearization.

The Schur Compliment[edit]

Consider the matricies , , and where and are self-adjoint. Then the following statements are equivalent:

  1. and both hold.
  2. and both hold.
  3. is satisfied.

More concisely:

External Links[edit]