Hankel Norm Approximation for Infinite-Dimensional Systems

• Main Author: Sasane, A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Control and Information Sciences, 277
• Subjects: Control engineering.; Robotics.; Mechatronics.; Computational complexity.; System theory.; Physics.; Vibration.; Dynamical systems.; Dynamics.; Control, Robotics, Mechatronics.; Complexity.; Systems Theory, Control.; Mathematical Methods in Physics.; Vibration, Dynamical Systems, Control.

Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy. The accuracy can be mathematically measured in several possible norms and the Hankel norm is one such. The Hankel norm gives a meaningful notion of d...

Table of Contents:

• Classes of well-posed linear systems
• Compactness and nuclearity of Hankel operators
• Characterization of all solutions
• State space solutions
• The non-exponentially stable case
• The case of regular linear systems
• Coda.