IEEE Transactions on Automatic Control, Vol.51, No.5, 842-847, 2006
On some norms for descriptor systems
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:controllability and observability Gramians;convolution operator;descriptor system;frequency response;Hankel operator;Hankel singular values;impulse response;system norms