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math.OC2018★ 14 cited
A note on approximating the nearest stable discrete-time descriptor system with fixed rank
Nicolas Gillis, Michael Karow, Punit Sharma
Consider a discrete-time linear time-invariant descriptor system for . In this paper, we tackle for the first time the problem of stabilizing s…
math.OC2018★ 21 cited
Approximating the nearest stable discrete-time system
Nicolas Gillis, Michael Karow, Punit Sharma
In this paper, we consider the problem of stabilizing discrete-time linear systems by computing a nearby stable matrix to an unstable one. To do so, we provide a new characterizati…