Title :
A new bound of the ℒ2[0, T]-induced norm and applications to model reduction
Author :
Sznaier, M. ; Doherty, A.C. ; Barahona, M. ; Mabuchi, H. ; Doyle, J.C.
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
We present a simple bound on the finite horizon L2[0, T]-induced norm of a linear time-invariant (LTI), not necessarily stable system which can be efficiently computed by calculating the H∞ norm of a shifted version of the original operator. As an application, we show how to use this bound to perform model reduction of unstable systems over a finite horizon. The technique is illustrated with a non-trivial physical example relevant to the appearance of time-irreversible phenomena in statistical physics.
Keywords :
linear systems; matrix algebra; reduced order systems; H∞ norm; L2[0, T]-induced norm; finite horizon norm; linear time-invariant system; model reduction; statistical physics; time-irreversible phenomena; unstable systems; Control systems; Eigenvalues and eigenfunctions; Electronic switching systems; Frequency response; Linear matrix inequalities; Microscopy; Oscillators; Physics computing; Reduced order systems; Riccati equations;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023179
