Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems. (English) Zbl 1209.93133
Summary: The regional stabilisability issues of a pair of planar LTI systems are investigated through geometrical approach, and easily verifiable necessary and sufficient conditions are derived. The main idea of the article is to characterise the best case switching signals based upon the variations of the constants of the integration of the subsystems. The conditions are generic as all possible combinations of the subsystem dynamics are considered.
MSC:
| 93D21 | Adaptive or robust stabilization |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93B27 | Geometric methods |
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