Conference paper
On multi-dissipative dynamic systems
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.
| Language: | English |
|---|---|
| Year: | 1999 |
| Pages: | 790-794 |
| Proceedings: | American Control Conference 1999 |
| ISBN: | 0780349903 and 9780780349902 |
| ISSN: | 23785861 and 07431619 |
| Types: | Conference paper |
| DOI: | 10.1109/ACC.1999.783148 |
| ORCIDs: | Thygesen, Uffe Høgsbro |
Control systems Control theory Large-scale systems Linear systems Mathematical model Partial differential equations Robust control Robust stability State-space methods Topology continuity properties control system analysis convex cone convexity deterministic dynamic systems dissipated supply rates multi-dissipative dynamic systems multi-objective control robust control robustness analysis state space representations state-space methods
