Abstract
The conventional control theory has focused on stabilization problems of stabilizable systems. Meanwhile, in recent years, the control of unstabilizable systems has become increasingly important, e.g., in medical applications. Motivated by this, we address here a control problem of unstabilizable switched systems. First, a divergence delay problem is formulated and its hardness is explained. We then propose a solution based on discrete abstraction. Moreover, the proposed framework is applied to a scheduling problem of intermittent androgen suppression to delay the relapse of prostate cancer.
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Azuma, Si., Takegami, T., Hirata, Y. (2015). Control of Unstabilizable Switched Systems. In: Aihara, K., Imura, Ji., Ueta, T. (eds) Analysis and Control of Complex Dynamical Systems. Mathematics for Industry, vol 7. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55013-6_12
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DOI: https://doi.org/10.1007/978-4-431-55013-6_12
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