COMPUTATIONAL EXPERIENCE IN SOLVING LARGE LINEAR MATRIX EQUATIONS FOR AUTOMATIC CONTROL

Abstract

State-of-the-art, uni-processor linear matrix equation solvers for automatic control computations are investigated and compared for various problem sizes. Generalpurpose SLICOT solvers are the most efficient ones for small-size problems, but they cannot compete for larger problems with specialized solvers designed for certain problem classes.

Keywords

• Computer-aided control system design
• Large-scale systems
• Linear control systems
• Lyapunov equation
• Numerical algorithms
• Numerical solutions