We approximate (9) by linearizing the second term in the objective function such that the maximization problem becomes maximize s k c ∀ k w c f s ∑ k log 2 1 + 1 Γ | h k c | 2 s k c ∑ c ˉ ≠ c c ˉ ∈ C | h k c ˉ | 2 s k c ˉ + σ k c - w vc f s ∑ k | h k vc, c | 2 s k c s.t.
First, the T-S fuzzy model is constructed by linearizing the existing nonlinear equations of motion of the solar sail.
This is achieved by linearizing the "score" or the pdf approximate of the observation.
Lie symmetries are obtained by linearizing the symmetry condition about the identity, as follows.
Then, the Gauss Newton method is used to linearize the first order optimality conditions.
end{aligned} In order to calculate the invasion success of the variant population, we linearize the fourth-order polynomial in λ by using Taylor series expansion around (lambda=1).
extended Kalman filter (EKF) [14] is used to estimate phase noise by linearizing first order digital phase locked loop (DPLL), in which, however, the non-convergent condition happens sometimes.
A simple approximation to the amplitude decay is obtained by first linearizing the static terms and then using the WKB approximation.
A simple approximation to the fundamental harmonic of the response is obtained by first linearizing the static terms using the frequency relations developed in reference [1] for the autonomous conservative oscillator and then using the averaging method to solve the linearized forced problem.
