The Legendre pseudospectral method for optimal control problems is based on Legendre polynomials. It is part of the larger theory of pseudospectral optimal...

such as the Chebyshev pseudospectral method (CPM) the Legendre pseudospectral method (LPM) and the Gauss pseudospectral method (GPM). The CPM uses Chebyshev...

theory of pseudospectral optimal control, a term coined by Ross. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not...

applied mathematics, the pseudospectral knotting method is a generalization and enhancement of the standard pseudospectral method for optimal control. Introduced...

The Bellman pseudospectral method is a pseudospectral method for optimal control based on Bellman's principle of optimality. It is part of the larger theory...

are the pseudospectral knotting method, the flat pseudospectral method, the Legendre-Gauss-Radau pseudospectral method and pseudospectral methods for infinite-horizon...

associated Legendre functions typically appearing in rotational problems. Orszag, Steven A. (September 1972). "Comparison of Pseudospectral and Spectral...

filter Legendre form Legendre function Legendre moment Legendre polynomials Legendre pseudospectral method Legendre rational functions Legendre relation...

general banner of pseudospectral optimal control. Examples of these are the Legendre pseudospectral method, the Chebyshev pseudospectral method, the Gauss pseudospectral...

January–February 2001. F. Fahroo and I. M. Ross, “Costate Estimation by a Legendre Pseudospectral Method,” Journal of Guidance, Control, and Dynamics, Vol.24, No.2,...

pseudospectral method Chebyshev pseudospectral method Covector mapping principle Fariba Fahroo Flat pseudospectral methods I. Michael Ross Legendre pseudospectral...

the Legendre–Gauss points Legendre pseudospectral method — uses Legendre polynomials Pseudospectral knotting method — generalization of pseudospectral methods...

B^{\lambda N}} thus completing the circuit. Legendre pseudospectral method Ross–Fahroo pseudospectral methods Ross–Fahroo lemma Ross, I. M., “A Historical...

Massachusetts Institute of Technology, 2005. J. R. Rea, A Legendre Pseudospectral Method for Rapid Optimization of Launch Vehicle Trajectories, S.M....

convergence of pseudospectral discretizations of optimal control problems. Ross and his coworkers showed that the Legendre and Chebyshev pseudospectral discretizations...

SIAM 2013 Kang, Wei (November 2010). "Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems". Journal of Control...

method) with Lagrange basis (shape) functions and reduced numerical integration by Lobatto quadrature using the same nodes. The pseudospectral method...

Master's thesis. Attitude control Control moment gyroscope DIDO Legendre pseudospectral method Momentum wheel Reaction wheels N. Bedrossian, S. Bhatt, W. Kang...

version of GPOPS which implemented global collocation using the Gauss pseudospectral method. The development of GPOPS-II continues today, with improvements...

theorem, which is also known as the Ostrogradsky–Gauss theorem Gauss pseudospectral method Gauss transform, also known as Weierstrass transform. Gauss–Lucas...

[page needed] Kang, Wei (November 2010). "Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems". Journal of Control...