Minimal realizations of the matrix transition Lie group for bilinear control systems: Explicit results

DOI10.1016/0167-6911(87)90050-8zbMath0631.93014OpenAlexW2090538478WikidataQ115363796 ScholiaQ115363796MaRDI QIDQ1095080

G. Salut, Thierry E. Huillet, André Monin

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90050-8

zbMATH Keywords

matrix Lie groupsminimal realizationsbilinear control systemsMagnus exponentiationWei-Norman factorization

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Minimal systems representations (93B20) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15) Lie groups (22E99)

Related Items (3)

Parameter differentiation and quantum state decomposition for time varying Schrödinger equations ⋮ Did the ever dead outnumber the living and when? A birth-and-death approach ⋮ Explicit Wei-Norman formulae for matrix Lie groups via Putzer's method

Cites Work

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• Minimal realizations and canonical forms for bilinear systems
• Decomposition of differential equations
• Lie algebraic representation results for nonstationary evolution operators
• Exponential Operators and Parameter Differentiation in Quantum Physics
• System Theory on Group Manifolds and Coset Spaces
• On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
• On the exponential solution of differential equations for a linear operator

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