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- W2017669148 abstract "Motivated by the study of linear quadratic optimal control problems, we consider a dynamical system with a constant, quadratic Hamiltonian, and we characterize the number of conjugate times in terms of the spectrum of the Hamiltonian vector field $vec{H}$. We prove the following dichotomy: the number of conjugate times is identically zero or grows to infinity. The latter case occurs if and only if $vec{H}$ has at least one Jordan block of odd dimension corresponding to a purely imaginary eigenvalue. As a byproduct, we obtain bounds from below on the number of conjugate times contained in an interval in terms of the spectrum of $vec{H}$." @default.
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- W2017669148 date "2014-10-07" @default.
- W2017669148 modified "2023-10-01" @default.
- W2017669148 title "On Conjugate Times of LQ Optimal Control Problems" @default.
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- W2017669148 doi "https://doi.org/10.1007/s10883-014-9251-6" @default.
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