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We first present this method for Legendre-chaos corresponding to uniform random inputs, and subsequently we generalize it to other random inputs.
The key idea for stationary random inputs can be used in SDOF models under non-stationary random inputs that can be described by a uniformly modulated excitation model.
However, it may also be relevant to develop the critical excitation methods for stationary random inputs as the basis for development for non-stationary random inputs.
Secondly, critical excitation methods for non-stationary random inputs are developed.
The wing response due to random inputs is represented by the autoregressive moving-average model.
These methods are based on the theory for stationary random inputs.
First, critical excitation methods for stationary random inputs are discussed in this chapter.
This chapter discusses the methods of critical excitation for stationary and non-stationary random inputs.
40648_2018_105_MOESM2_ESM.mp4 Additional file 2. Sequential whole-body control with random inputs.
In this problem the random inputs arise due to uncertainties in cross section, initial data or boundary data.
Robust controllers for nonlinear systems with non Gaussian random inputs and uncertain parameters can be reliably designed using probabilistic methods.
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