Ritt's algorithm, Gröbner basis and discretization

DOI10.1016/S0895-7177(97)00158-1zbMath0893.93007OpenAlexW2066167010MaRDI QIDQ1381803

G. Calandrini, Alfredo C. Desages, Liliana R. Castro, Eduardo E. Paolini

Publication date: 26 July 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00158-1

zbMATH Keywords

discretizationGröbner basisdiscrete-timedifferential algebraRitt's algorithmcanonical observability form

Mathematics Subject Classification ID

Canonical structure (93B10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Algebraic methods (93B25) Modules of differentials (13N05)

Cites Work

• Nonlinear control systems: An introduction
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Associative differential operations
• Generalized controller canonical form for linear and nonlinear dynamics
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