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- W2841025320 abstract "Consider a discrete-time linear time-invariant descriptor system Ex(k+1)=Ax(k) for k∈Z+. In this paper, we tackle for the first time the problem of stabilizing such systems by computing a nearby regular index one stable system Eˆx(k+1)=Aˆx(k) with rank(Eˆ)=r. We reformulate this highly nonconvex problem into an equivalent optimization problem with a relatively simple feasible set onto which it is easy to project. This allows us to employ a block coordinate descent method to obtain a nearby regular index one stable system. We illustrate the effectiveness of the algorithm on several examples." @default.
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- W2841025320 date "2020-02-01" @default.
- W2841025320 modified "2023-10-02" @default.
- W2841025320 title "A note on approximating the nearest stable discrete-time descriptor systems with fixed rank" @default.
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- W2841025320 doi "https://doi.org/10.1016/j.apnum.2019.09.004" @default.
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