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math.OC2020
The trouble with imaginary eigenvalues. Optimal control, controllability, frequency response
Bahman Gharesifard, Andrew D. Lewis
We investigate a few problems in the theory of linear time-invariant systems that arise when the open-loop system possesses imaginary eigenvalues. The problems are: (1) the infinit…
math.OC2013★ 2 cited
Mathematical models for geometric control theory
Saber Jafarpour, Andrew D. Lewis
Just as an explicit parameterisation of system dynamics by state, i.e., a choice of coordinates, can impede the identification of general structure, so it is too with an explicit p…