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- W4313451719 abstract "We discuss stabilisability issues for discrete-time linear switched systems, assuming that one can use the switching law as a control function either in feedback form or as an open loop control. Stabilisability properties may be characterised through suitable indices such as the joint spectral subradius and the stabilisability radius. The paper focuses on the numerical computation of these quantities, especially for what concerns lower bounds, and investigates conditions under which they are different. Our analysis shed light on some counterintuitive phenomena related to stabilisation of discrete-time linear switched systems. In particular, one can construct examples of systems which are (exponentially) stabilisable for every initial condition, yet no periodic stabilising switching law exists, except for a set of initial conditions of measure zero." @default.
- W4313451719 created "2023-01-06" @default.
- W4313451719 creator A5061850292 @default.
- W4313451719 date "2022-11-23" @default.
- W4313451719 modified "2023-10-18" @default.
- W4313451719 title "Some remarks on the stabilisation problem and the stabilisability radius for linear switched systems" @default.
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- W4313451719 doi "https://doi.org/10.1109/icsc57768.2022.9993894" @default.
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