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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering
Simulation Of Engineering Systems Described By High-Index Dae And Discontinuous Ode Using Single Step Methods, Marc Compere
This dissertation presents numerical methods for solving two classes of or-dinary diferential equations (ODE) based on single-step integration meth-ods. The ﬁrst class of equations addressed describes the mechanical dynamics of constrained multibody systems. These equations are ordinary diﬀerential equations (ODE) subject to algebraic constraints. Accordinly they are called diﬀerential-algebraic equations (DAE).
Speciﬁc contributions made in this area include an explicit transforma-tion between the Hessenberg index-3 form for constrained mechanical systems to a canonical state-space form used in the nonlinear control communities. A hybrid solution method was developed that incorporates both sliding-mode control (SMC) from the controls literature and post-stabilization from ...