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The present analytical model is based on the linearized stability theory and is capable of predicting exact buckling loads.
Dashed lines mark a 95% confidence band of the simulation based on the linearized system (linearized with respect to the parameters; for details [Additional file 1]).
Based on the linearized model, linear quadratic regulator (LQR) control approach is used to synthesize a state feedback controller.
The MIMO-based controller was designed based on the linearized dynamic model of the experimental DX A/C system.
Tail equivalent linear system (TELS) is defined based on the linearized limit state surface, because its tail probability is equal to the tail probability of the nonlinear system.
In the first part, the buckling analysis is presented and it is based on the linearized version of the governing equations of the non-linear geometrical bending equations.
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To solve the ill-posed and nonlinear inverse problem of ECT image reconstruction, a new ECT image reconstruction method based on fast linearized alternating direction method of multipliers (FLADMM) is proposed in this paper.
A conceptual framework for studying such solutions is the linear spreading velocity υ*, which is the asymptotic rate with which an initial localized perturbation spreads into an unstable state based on the linear equations obtained by linearizing the full nonlinear equations about the unstable state.
Based on the feedback linearized technique and control of differential and algebraic systems, the exact linearization design is presented in this paper for SVC (static var compensator) and generator excitation controllers in power systems with nonlinear loads.
To remedy this difficulty, based on the linearization technique a novel PF framework is suggested, and we show in particular how to linearize the involved nonlinearity transform in the formulated discrete dynamic state-space modeling (DSM).
Actual experimental data are used to compare performance of the fuzzy polynomial design with classical ones based on the Takagi Sugeno and linearized models, both using the same optimization criteria and design parameters.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com