Title :
Intrinsic difficulties in using the doubly-infinite time axis for input-output systems theory
Author :
Georgiou, Tryphon T. ; Smith, Malcolm C.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
We point out that the natural definitions of stability and causality in input-output control theory lead to certain inconsistencies when inputs and outputs are allowed to have support on the doubly-infinite time-axis. In particular, systems with right half plane poles cannot be considered to be both causal and stabilizable. In contrast, there is no such conflict when the semi-infinite time axis is used
Keywords :
Fourier transforms; control system analysis; control systems; feedback; frequency-domain analysis; input-output stability; transfer functions; Laplace transfer function; causality; doubly-infinite time axis; feedback; frequency domian analysis; input-output systems theory; right half plane poles; stability; Bridges; Control theory; Convergence; Convolution; Feedback; Fourier transforms; Frequency domain analysis; Hydrogen; Stability; Transfer functions;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411548
