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The present work was an attempt to develop a more practical simple "multi-mode theory" based on the linearization of the non-linear algebraic equations, written on the modal basis, in the neighbourhood of each resonance.
In Part I of this series of papers, concerned with geometrically non-linear free and forced vibrations of various beams, a practical simple "multi-mode theory", based on the linearization of the non-linear algebraic equations, written in the modal basis, in the neighbourhood of each resonance has been developed.
Based on the linearization scheme presented previously, a linear state-space method can be applied to model gene networks.
We describe both fully implicit methods based on the use of non-linear iteration solvers and semi-implicit methods based on the linearization of the coupling and on simpler linear solvers.
In this paper, a two-input and two-output linear nuclear steam supply system (NSSS) model is developed first based on the linearization of the nonlinear point reactor core model with one-group delayed neutron and simplified nonlinear once-through steam generator model.
Linear controller design is applied based on the linearization about specific operating points.
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Furthermore, a route-based solution algorithm based on the partial linearization descent method (R-PLD) is developed to solve the ME-MUE model.
The control strategy is based on the feedback linearization technique, where the resulting free linear dynamics is designed so as to ensure a certain robustness to plant parameter variations.
It is based on the feedback linearization technique.
The tracking law for the selected drag profile is designed based on the feedback linearization.
The control schemes that are based on the feedback linearization method, can stabilize the internal dynamics of the system.
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