Title :
Integral representations for linear maps
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
fDate :
5/1/1988 12:00:00 AM
Abstract :
Representation theorems for linear causal input-output maps that take certain bounded R-valued functions on (0, ∞) into not necessarily-bounded functions on the same time interval are presented. In particular, an identification is made between an important class of maps and a set of functions of bounded variations on compact subsets of [0, ∞). These functions have the interpretation that they are step responses
Keywords :
network analysis; system theory; bounded R-valued functions; bounded variations; class of maps; compact subsets; identification; integral representation; linear causal input-output maps; set of functions; step responses; Books; Circuits and systems; Convergence; Convolution; DH-HEMTs; Differential equations; Integral equations; Linear systems; Sufficient conditions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
