Index and Decomposition of Nonlinear Implicit Differential Equations

[1]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[2]  Stephen L. Campbell,et al.  Solvability of General Differential Algebraic Equations , 1995, SIAM J. Sci. Comput..

[3]  Stephen L. Campbell,et al.  Constraint preserving integrators for general nonlinear higher index DAEs , 1995 .

[4]  M. Rahula New Problems in Differential Geometry , 1994 .

[5]  Pierre Rouchon,et al.  Generalized state variable representation for a simplified crane description , 1993 .

[6]  Pierre Rouchon,et al.  Index of an implicit time-varying linear differential equation: a noncommutative linear algebraic approach , 1993 .

[7]  Xavier Gràcia,et al.  A generalized geometric framework for constrained systems , 1992 .

[8]  Sette Diop,et al.  Differential-Algebraic Decision Methods and some Applications to System Theory , 1992, Theor. Comput. Sci..

[9]  Sette Diop,et al.  Elimination in control theory , 1991, Math. Control. Signals Syst..

[10]  M. Fliess Some basic structural properties of generalized linear systems , 1991 .

[11]  Michel Fliess,et al.  Generalized controller canonical form for linear and nonlinear dynamics , 1990 .

[12]  Alexandre M. Vinogradov,et al.  Local symmetries and conservation laws , 1984 .

[13]  Richard S. Hamilton,et al.  The inverse function theorem of Nash and Moser , 1982 .

[14]  R. F. Sincovec,et al.  Analysis of descriptor systems using numerical algorithms , 1981 .

[15]  C. W. Gear,et al.  The index of general nonlinear DAEs , 1995 .

[16]  S. Campbell High-Index Differential Algebraic Equations , 1995 .

[17]  M. Fliess,et al.  Linéarisation par bouclage dynamique et transformations de Lie-Bäcklund , 1993 .

[18]  T. Glad,et al.  An Algebraic Approach to Linear and Nonlinear Control , 1993 .

[19]  Ernst Hairer,et al.  The numerical solution of differential-algebraic systems by Runge-Kutta methods , 1989 .

[20]  M. Fliess Automatique et corps différentiels , 1989 .

[21]  E. Griepentrog,et al.  Differential-algebraic equations and their numerical treatment , 1986 .