Local accessibility, local reachability, and representations of compact groups

DOI10.1007/BF01704905zbMath0664.93006MaRDI QIDQ3815931

Peter E. Crouch, Christopher I. Byrnes

Publication date: 1986

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

zbMATH Keywords

accessibilityreachable setcompact Lie groupanalytic vector fieldsG-invariant

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Compact groups (22C05) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Lie groups (22E99) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items (4)

Approximation of a switched linear system by a nonswitched homogeneous polynomial system ⋮ Synthesis of nonlinear observers: A harmonic-analysis approach ⋮ A controllability perspective of dynamic soaring ⋮ Controllability of a class of underactuated mechanical systems with symmetry

Cites Work

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• Compact groups of differentiable transformations
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• Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models
• Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
• Lie Algebras of Vector Fields and Local Approximation of Attainable Sets
• A Sufficient Condition for Local Controllability

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