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math.OC2024
The shortest experiment for linear system identification
M. Kanat Camlibel, Henk J. van Waarde, Paolo Rapisarda
This paper is concerned with the following problem: given an upper bound of the state-space dimension and lag of a linear time-invariant system, design a sequence of inputs so that…
math.OC2024★ 2 cited
Beyond the fundamental lemma: from finite time series to linear system
Kanat Camlibel, Paolo Rapisarda
We state necessary and sufficient conditions to uniquely identify (modulo state isomorphism) a linear time-invariant minimal input-state-output system from finite input-output data…
math.OC2024
Chebyshev centers and radii for sets induced by quadratic matrix inequalities
Amir Shakouri, Henk J. van Waarde, M. Kanat Camlibel
This paper studies sets of matrices induced by quadratic inequalities. In particular, the center and radius of a smallest ball containing the set, called a Chebyshev center and the…