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• W2122353390 abstract "Singular values and vectors of Hankel operator for the non-linear system on finite time interval are considered. Three ways of finding Hankel singular vectors are proposed. Controllability and observability functions for the nonlinear pendulum are calculated. Problem of optimal control-observation ratio for Hankel experiment is posed and it’s numeric solutions for the linear and non-linear flat pendulums are found. 1. The Linear Case for Infinite Control and Observation Intervals Hankel operator plays an important part in modern control theory. Unlike convolution operator, that maps present inputs to present outputs, Hankel operator (HO) Γ maps past inputs to future outputs and is defined as following ∫ ∞ > + = = 0 0, t Q(t Y(t) (1) where ) (t Q is the system’s transfer function. Hankel singular values (HSV) i σ are well described" @default.
• W2122353390 created "2016-06-24" @default.
• W2122353390 creator A5017833259 @default.
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• W2122353390 date "2006-10-04" @default.
• W2122353390 modified "2023-09-25" @default.
• W2122353390 title "Hankel singular values and vectors of a nonlinear pendulum" @default.
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• W2122353390 doi "https://doi.org/10.1109/phycon.2005.1514086" @default.
• W2122353390 hasPublicationYear "2006" @default.
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