Title :
On multi-dissipative dynamic systems
Author :
Thygesen, Uffe Høgsbro
Author_Institution :
Dept. of Math. Modeling, Tech. Univ., Lyngby, Denmark
Abstract :
We consider deterministic dynamic systems with state space representations which are dissipative in the sense of Willems (1972) with respect to several supply rates. This property is of interest in robustness analysis and in multi-objective control. We give conditions under which the convex cone of dissipated supply rates is closed. Furthermore we show convexity and continuity properties of the available storage and required supply as functions of the supply rate
Keywords :
control system analysis; robust control; state-space methods; continuity properties; convex cone; convexity; deterministic dynamic systems; dissipated supply rates; multi-dissipative dynamic systems; multi-objective control; robustness analysis; state space representations; Control systems; Control theory; Large-scale systems; Linear systems; Mathematical model; Partial differential equations; Robust control; Robust stability; State-space methods; Topology;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.783148
