LMI Properties and Applications in Systems, Stability, and Control Theory

Understand

Linear matrix inequalities (LMIs) commonly appear in systems, stability, and control applications.

• Many analysis and synthesis problems in these areas can be solved as feasibility or optimization problems subject to LMI constraints.
• Although most well-known LMI properties and manipulation tricks, such as the Schur complement and the congruence transformation, can be found in standard references, many useful LMI properties are scattered throughout the literature.
• The purpose of this document is to collect and organize properties, tricks, and applications related to LMIs from a number of references together in a single document.