We study quadratic stabilizability via state and output feedback for switched systems composed of several discrete-time linear time-invariant subsystems, under the assumption that all subsystem matrices are unstable. We derive a sufficient condition expressed as a matrix inequality under which the switched system is quadratically stabilizable via state-based switching strategy, and we show the sufficient condition is also necessary if the number of subsystems is two. When a robust detectability condition is satisfied in addition to the sufficient condition, we construct a quadratically stabilizing switching strategy based on the measurement output.
|ジャーナル||Proceedings of the IEEE Conference on Decision and Control|
|出版ステータス||Published - 2001 12月 1|
|イベント||40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States|
継続期間: 2001 12月 4 → 2001 12月 7
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