Differential-algebraic decision methods and some applications to system theory

DOI10.1016/0304-3975(92)90384-RzbMath0768.93014MaRDI QIDQ1194323

Sette Diop

Publication date: 27 September 1992

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

observabilityirreducibilityuniversal external trajectories

Mathematics Subject Classification ID

Algebraic methods (93B25) Differential algebra (12H05)

Related Items (13)

Recent progress in an algebraic analysis approach to linear systems ⋮ On a new differential geometric setting in nonlinear control ⋮ Geometrical and topological methods in optimal control theory ⋮ Thomas Decomposition and Nonlinear Control Systems ⋮ An algorithm for solving partial differential parametric systems. ⋮ Classical electrical engineering questions in the light of Fliess's differential algebraic framework of non-linear control systems ⋮ Unmixed-dimensional decomposition of a finitely generated perfect differential ideal ⋮ Systems of nonalgebraic nonlinear ODEs ⋮ Factorization-free decomposition algorithms in differential algebra ⋮ A parameter-free model comparison test using differential algebra ⋮ Special issue: Differential algebra and differential equations ⋮ Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease ⋮ Parameter identifiability of nonlinear systems: The role of initial conditions.

Cites Work

• Elimination in control theory
• Associative differential operations
• Automatique et corps différentiels
• Closedness of morphisms of differential algebraic sets. Applications to system theory
• Well-Ordering of Certain Numerical Polynomials
• Smooth representation of systems with differentiated inputs
• Differential Dimension Polynomials of Finitely Generated Extensions
• Generalized controller canonical form for linear and nonlinear dynamics
• The notion of dimension in the theory of algebraic differential equations
• Differential Dimension Polynomials and a Fundamental Theorem on Differential Modules
• Specializations in Differential Algebra
• Unnamed Item
• Unnamed Item

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