Controllability and observability of polynomial dynamical systems

DOI10.1016/0362-546X(81)90102-4zbMath0463.93021OpenAlexW2011304388MaRDI QIDQ3914829

John Baillieul

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90102-4

zbMATH Keywords

polynomial control systems

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Observability (93B07) Varieties and morphisms (14A10)

Related Items

Structural identifiability of polynomial and rational systems ⋮ Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Observability of smooth control systems ⋮ Minimal polynomial realizations ⋮ Output feedback control for quadratic systems: A Lyapunov function approach ⋮ Generalization of the Lyapunov equation to non-linear systems ⋮ Stabilization of rigid body dynamics by the Energy-Casimir method ⋮ The early days of geometric nonlinear control ⋮ Stabilization of rigid body dynamics by internal and external torques ⋮ The triangular decoupling problem for nonlinear control systems ⋮ Realization theory for rational systems: minimal rational realizations ⋮ Quadratic control systems ⋮ Some questions of reachability in natural-resource management ⋮ Controllability of a class of underactuated mechanical systems with symmetry

Cites Work

• The geometry of homogeneous polynomial dynamical systems
• On discrete-time polynomial systems
• Nonlinear controllability and observability
• On the Observability of Polynomial Systems, I: Finite-Time Problems
• Introduction to Lie Algebras and Representation Theory
• Controllability of nonlinear systems
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