Subspace Method for Approximation of H-infinity Norms of Large-Scale Control Systems

• Datum: 13. 5. 2021
• Čas: 14:00 - 15:30
• Adresa:
  Sokolovská 83, Praha
• Místnost: Online via Zoom
• Přednášející: Nicat Aliyev

I will shortly describe and formulate the problem of the computation of H-infinity norm of a given control system such as descriptor system or time-delay system. Then, I will review some existent methods in literature. Afterward, I will introduce our subspace method and explain how to employ it to approximate the H-infinity or more generally L-inifnity norm of large-scale control systems. I will give the main result which states that our subspace method converges superlinearly assuming that it converges at least locally. Finally, I will demonstrate several numerical results that verify the fast convergence and efficiency of our method.