LMI Method

The Linear Matrix Inequality (LMI) method is a mathematical approach used in control systems and optimization to verify if a system meets certain stability or performance criteria. It formulates these conditions as matrix inequalities that must hold true. Since LMIs can be efficiently solved using specialized algorithms, engineers can design and analyze complex systems more effectively. Essentially, the LMI method provides a systematic way to ensure systems behave as intended by checking the feasibility of these matrix conditions, streamlining the design process in many engineering applications.