Feedback equivalence of control systems

DOI10.1016/0167-6911(87)90088-0zbMath0691.93023OpenAlexW1970943430MaRDI QIDQ583161

William F. Shadwick, Robert B. Gardner

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)90088-0

zbMATH Keywords

feedback equivalencedifferential invariantsCartan's method of equivalenceinfinite Lie pseudogroups

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Canonical structure (93B10)

Related Items

Stabilization with arbitrary convergence rate for the Schrödinger equation subjected to an input time delay ⋮ Some numerical aspects of approximate linearization of single input non-linear systems ⋮ Subriemannian metric induced by single-input locally accessible control-affine systems ⋮ Invariant Control Systems on Lie Groups ⋮ Local equivalence of scalar control systems under feedback transformations ⋮ Symmetry and the implementation of feedback linearization ⋮ Feedback equivalence for general control systems ⋮ Uniform Stabilization of 1-D Coupled Wave Equations with Anti-dampings and Joint Delayed Control ⋮ Reducing a class of polygonal path tracking to straight line tracking via nonlinear strip-wise affine transformation ⋮ Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds ⋮ Web geometry of a system of first-order autonomous ordinary differential equations

Cites Work

• Symmetry and the implementation of feedback linearization
• On the linear equivalents of nonlinear systems
• On the Equivalence of Control Systems and the Linearization of Nonlinear Systems
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