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Towards robustness of H∞ suboptimal state feedback

In this paper we consider frequency properties and robustness of H∞ suboptimal state feedback. It is shown that in spite of large gain and phase margins (at the plant input), the closed-loop H∞ suboptimal system may not be robust in the sense that small parameter variations in the plant and/or the controller matrices may lead to instability. This situation is illustrated by a simple example.