The Riccati transfer matrix method is a new technique for analyzing structural members. This new technique makes use of an existing large catalog of transfer matrices for various structural members. The numerical instability encountered when calculating high resonant frequencies, static response of a ...
Finally, the critical speed of the rotor can be calculated by solving the determinant based on the Riccati method. 3. The Modified TMM considering the Effect of the Stepped Shaft 3.1. The Influence of the Stepped Shaft The lumped mass model in TMM is established according to the Timoshenko ...
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shifted Riccati procedurefactorizationWe present an efficient numerical technique to evaluate the matrix of the (quasiparticle-) random-phase approx-imation, using the finite-amplitude method (FAM). The method is tested in calculation of monopole excitations in 120Sn, compared with result obtained with...
numerical solutions of the nonlinear time–space fractional Schrödinger (NTSFS) equation, such as the fractional Riccati expansion method [13], the residual power series method [14], the adomian decomposition method [15], the Nucci’s reduction method and simplest equation method [16] and so ...
The procedure for constructing a specific solution to the Riccati Eq. (14) closely follows the methodology outlined in [19]. To establish the existence of a solution to the problem (4)–(7), we employ both the Galerkin method and Tartar's method of compensated compactness [20]. ...
The optimal solution to the optimization problem was calculated using Riccati recursion. A new method for determining the function and evaluation threshold of residuals was also proposed. The operation of the presented method has been verified in the altitude control system. Simulations were carried ...
no matter how large n is! (This fact is the time-reversal of the well-known fact that theRiccati ODE blows up in finite time.) These appear to be the best possible rates for acceleration or deceleration using only air and water sails, though I do not have a formal proof of this fact...
(M−k +1 1 + BBT − γ −2DDT )−1A with MN = QN , k + 1 = A( −1 k + CT N−1C − γ −2Qk)−1AT + DDT with 1 = Q−0 1, where Mk and k denote the solutions of the Riccati equations obtained by the respective backward and ...
The elements of the matrix K may for example be “Kalman gains” calculated from the Riccati differential equation. In this linear estimator17, the state vector x(t) has four states, which are the estimated values νxN, νyNof the horizontal components of the ground speed vector of the air...