A multi-resolution approach for steady state uncertainty determination in nonlinear dynamical systems Conference Paper

abstract

• A novel multi-resolution algorithm is presented to solve the Fokker Planck Equation (FPE) for general N-dimensional nonlinear systems while addressing the "curse of dimensionality". Numerical aspects of the extension of the proposed approach to high dimensional systems is discussed for the stationary FPE. The algorithm is validated against and compared with the existing methods. 2006 IEEE.

name of conference

• 2006 Proceeding of the Thrity-Eighth Southeastern Symposium on System Theory

authors

• Chakravorty, Suman
• Junkins, John

published proceedings

• Proceedings of the Thirty-Eighth Southeastern Symposium on System Theory

author list (cited authors)

• Kumar, M., Singla, P., Chakravorty, S., & Junkins, J. L.

citation count

• 8

complete list of authors

• Kumar, Mrinal||Singla, Puneet||Chakravorty, Suman||Junkins, John L

publication date

• January 2004

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Southeastern Symposium on System Theory  Journal

keywords

• Aerodynamics
• Aerospace Engineering
• Monte Carlo Methods
• Nonlinear Dynamical Systems
• Nonlinear Equations
• Nonlinear Systems
• Probability Density Function
• Steady-state
• Stochastic Systems
• Uncertainty

Digital Object Identifier (DOI)

• 10.1109/ssst.2006.1619059

International Standard Book Number (ISBN) 10

• 0-7803-9457-7

International Standard Book Number (ISBN) 13

• 9780780394575

start page

• 344

end page

• 348

volume

• 2006

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Fssst.2006.1619059