Lie algebraic representation results for nonstationary evolution operators

DOI10.1007/BF01704914zbMath0621.47057OpenAlexW2042709665MaRDI QIDQ3756866

G. Salut, André Monin, Thierry E. Huillet

Publication date: 1987

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01704914

zbMATH Keywords

nonlinear systemsLie algebrauniversal representationsinfinite product of exponentialsnonstationary evolution equation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear systems in control theory (93C10) Groups and semigroups of nonlinear operators (58D07)

Related Items

Minimal realizations of the matrix transition Lie group for bilinear control systems: Explicit results ⋮ Geometrical and topological methods in optimal control theory ⋮ Lie algebras associated with the exponential solutions of nonautonomous linear differential equations ⋮ Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach. ⋮ A combinatorial approach to the generalized Baker-Campbell-Hausdorff-Dynkin formula

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula
• Lie elements and an algebra associated with shuffles
• Fonctionnelles causales non linéaires et indéterminées non commutatives
• Nonlinear controllability and observability
• Contrôlabilité des Systèmes non Linéaires
• An Operator Calculus Having Applications in Quantum Electrodynamics
• On the exponential solution of differential equations for a linear operator