Orthogonal representations of nonlinear systems and input-output maps

DOI10.1016/0167-6911(86)90054-XzbMath0613.93012OpenAlexW2003351281MaRDI QIDQ1820098

Yanyan Li

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-6911(86)90054-x

zbMATH Keywords

almost periodic functionsrepresentation theorybilinear systemnonlinear single-output analytic control systemobservation spaceskew-symmetric realization

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Minimal systems representations (93B20) Transformations (93B17) Compact Lie groups of differentiable transformations (57S15) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15) Noncompact Lie groups of transformations (57S20)

Related Items (1)

Synthesis of nonlinear observers: A harmonic-analysis approach

Cites Work

• Representations and representative functions of Lie groups
• A generalization of the closed subgroup theorem to quotients of arbitrary manifolds
• Unitary immersions of nonlinear systems
• A Finiteness Criterion for Nonlinear Input–Output Differential Systems
• Global Realizations of Analytic Input–Output Mappings
• Existence and uniqueness of minimal realizations of nonlinear systems
• Orbits of Families of Vector Fields and Integrability of Distributions
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