A mathematical methodology for solution of complex differential and partial differential equations modeling problems associated with analysis and control of large space structures (the adomian decomposition method) would make it possible to provide accurate and physically more realistic solutions of related nonlinear problems of vibration, thermal stresses, and control. This approach would solve nonlinear problems and/or problems involving randomness without the usual approximations (linearization, perturbation, white noise) or numerical methods requiring intensive computation. Solutions of specific applications in this area are being demonstrated using this new methodology. Research on the problem of nonlinear stochastic and multidimensional control is being undertaken.
