Title :
On some norms for descriptor systems
Author_Institution :
Inst. fur Math., Tech. Univ. Berlin, Germany
fDate :
5/1/2006 12:00:00 AM
Abstract :
We present generalizations of the impulse and frequency responses as well as convolution and Hankel operators for continuous-time and discrete-time descriptor systems. Some norms for descriptor systems are introduced and their representations via the different linear system concepts are considered.
Keywords :
continuous time systems; convolution; discrete time systems; frequency response; linear systems; mathematical operators; state-space methods; transient response; Hankel operators; continuous-time descriptor system; convolution; discrete-time descriptor system; frequency response; impulse response; linear system; Convolution; Frequency response; Linear systems; Mechanical systems; Observability; Polynomials; Robust control; State-space methods; System identification; Transfer functions; Controllability and observability Gramians; Hankel operator; Hankel singular values; convolution operator; descriptor system; frequency response; impulse response; system norms;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.875010
