DocumentCode :
294289
Title :
An abstract approach to dissipation
Author :
Sontag, Eduardo
Author_Institution :
Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
Volume :
3
fYear :
1995
fDate :
13-15 Dec 1995
Firstpage :
2702
Abstract :
We suggest that a very natural mathematical framework for the study of dissipation-in the sense of Willems (1976), Moylan and Hill, and others-is that of indefinite quasimetric spaces. Several basic facts about dissipative systems are seen to be simple consequences of the properties of such spaces. Quasimetric spaces provide also one natural context for optimal control problems, and even for “gap” formulations of robustness
Keywords :
stability; dissipative systems; gap formulations; indefinite quasimetric spaces; optimal control; robustness; Attenuation; Control systems; Cost function; Equations; Extraterrestrial measurements; Mathematics; Optimal control; Robust control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
ISSN :
0191-2216
Print_ISBN :
0-7803-2685-7
Type :
conf
DOI :
10.1109/CDC.1995.478522
Filename :
478522
Link To Document :
بازگشت