Title :
Convolution and Hankel operator norms for linear systems
Author :
Wilson, David A.
Author_Institution :
Dept. of Electr. & Electron. Eng., Leeds Univ., UK
fDate :
1/1/1989 12:00:00 AM
Abstract :
Some norms are derived for convolution and Hankel operators associated with linear, time-invariant systems. In certain cases, these norms are shown to be identical. The tightest possible bound has been obtained for the absolute magnitude of the Euclidean 2 or ∞ norm of the time-domain response of a multioutput system to certain classes of input disturbance
Keywords :
control system analysis; control system synthesis; linear systems; ∞ norm; Euclidean 2 norm; Hankel operator norms; control system analysis; control system synthesis; convolution operator norms; linear systems; multioutput system; time-domain response; time-invariant systems; Control system analysis; Control systems; Controllability; Convolution; Eigenvalues and eigenfunctions; Frequency domain analysis; Integral equations; Linear systems; Observability; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
