The geometry of homogeneous polynomial dynamical systems

DOI10.1016/0362-546X(80)90002-4zbMath0473.34022MaRDI QIDQ3927515

John Baillieul

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

reachabilityalgebraic geometryregulator problemautomorphic functionspolynomial feedbackpolynomial performance criterion

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamical systems and ergodic theory (37-XX)

Related Items (12)

Robustness of nonlinear state feedback. A survey ⋮ Structural identifiability of polynomial and rational systems ⋮ Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Minimal polynomial realizations ⋮ An algebraic approach to nonlinear stability ⋮ Quadratic regulatory theory for analytic non-linear systems with additive controls ⋮ Structural identifiability of dynamical systems ⋮ Quadratic control systems ⋮ Constrained relative motions in rotational mechanics ⋮ Controllability and observability of polynomial dynamical systems ⋮ Differential-geometric and group-theoretical methods in optimal control theory

Cites Work

• Finite and infinite dimensional bilinear realizations
• Volterra series and geometric control theory
• Algebraic Geometry. I: Complex projective varieties.
• On discrete-time polynomial systems
• Lie Theory and Control Systems Defined on Spheres
• Controllability of nonlinear systems
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